#install.packages("forecast")
#install.packages("graphics")
#install.packages("TTR")
#install.packages("TSA")
library("forecast")
## Registered S3 method overwritten by 'quantmod':
##   method            from
##   as.zoo.data.frame zoo
library("graphics")
library("TTR")
library("TSA")
## Registered S3 methods overwritten by 'TSA':
##   method       from    
##   fitted.Arima forecast
##   plot.Arima   forecast
## 
## Attaching package: 'TSA'
## The following objects are masked from 'package:stats':
## 
##     acf, arima
## The following object is masked from 'package:utils':
## 
##     tar
library("ggplot2")

Impor Data

library(readxl)
data <- read_excel("/Users/a.akbaryahya/Documents/PraktikumMPDW/coffee1.xlsx")
data
## # A tibble: 1,182 × 2
##    Date                Price
##    <dttm>              <dbl>
##  1 2000-01-07 00:00:00 114. 
##  2 2000-01-14 00:00:00 113. 
##  3 2000-01-21 00:00:00 111. 
##  4 2000-01-28 00:00:00 115. 
##  5 2000-02-04 00:00:00 113. 
##  6 2000-02-11 00:00:00 109. 
##  7 2000-02-18 00:00:00 104. 
##  8 2000-02-25 00:00:00  98.8
##  9 2000-03-03 00:00:00 104. 
## 10 2000-03-10 00:00:00 106. 
## # ℹ 1,172 more rows

Eksplorasi Data

Melihat data menggunakan fungsi View(), struktur data menggunakan fungsi str(), dan dimensi data menggunakan fungsi dim().

str(data)
## tibble [1,182 × 2] (S3: tbl_df/tbl/data.frame)
##  $ Date : POSIXct[1:1182], format: "2000-01-07" "2000-01-14" ...
##  $ Price: num [1:1182] 114 113 111 115 113 ...
dim(data)
## [1] 1182    2

Mengubah data agar terbaca sebagai data deret waktu

data.ts <- ts(data$`Price`)
data.ts
## Time Series:
## Start = 1 
## End = 1182 
## Frequency = 1 
##    [1] 114.15 112.55 111.20 114.70 112.90 108.80 104.30  98.80 104.35 106.10
##   [11] 106.10 103.15 103.70  99.60  92.65  97.75  95.30  96.85  91.80  97.95
##   [21]  99.20  95.55  91.85  87.25  87.05  84.85  80.80  89.15  96.65  87.40
##   [31]  85.60  80.65  78.40  77.75  75.00  77.40  76.25  78.00  83.00  79.45
##   [41]  81.05  84.15  75.60  73.60  74.15  68.55  68.30  67.00  63.65  62.90
##   [51]  65.40  65.55  64.35  65.00  68.30  67.10  63.20  62.65  59.80  64.95
##   [61]  63.30  61.70  59.00  60.10  60.30  58.10  57.60  57.15  60.95  63.65
##   [71]  64.95  63.80  59.90  57.90  58.15  59.40  55.90  56.10  53.85  52.05
##   [81]  53.75  51.30  50.40  48.40  54.35  50.95  50.50  48.50  49.05  48.30
##   [91]  46.65  44.70  43.85  43.40  45.40  44.70  48.65  46.40  42.60  43.00
##  [101]  43.80  46.65  46.20  48.55  49.55  47.40  45.90  45.45  44.55  44.10
##  [111]  48.00  45.85  48.45  54.75  54.30  57.20  55.00  53.20  53.05  49.70
##  [121]  49.00  47.50  48.40  51.40  51.90  49.15  46.45  47.10  46.50  48.15
##  [131]  49.85  47.35  48.40  48.10  47.55  46.90  49.20  51.50  55.50  59.80
##  [141]  56.05  55.65  56.00  57.35  62.60  68.55  64.00  67.85  66.40  66.80
##  [151]  66.60  63.40  56.85  62.20  61.35  61.25  65.05  66.25  67.65  65.30
##  [161]  65.80  62.65  61.60  56.85  58.65  57.70  61.30  58.25  60.80  60.45
##  [171]  62.45  63.75  67.00  67.70  64.70  65.65  58.35  59.40  60.50  56.05
##  [181]  58.40  60.50  60.20  62.30  60.85  65.05  63.70  60.10  60.30  61.45
##  [191]  64.55  68.45  63.00  63.35  65.10  61.20  60.50  63.10  58.65  60.35
##  [201]  59.50  56.65  57.75  61.90  63.00  64.30  63.25  64.95  68.80  71.15
##  [211]  74.45  75.50  71.80  74.00  70.30  75.05  73.05  74.65  75.55  71.95
##  [221]  73.40  72.55  70.05  67.95  67.15  68.10  70.40  72.35  85.55  83.00
##  [231]  83.25  75.70  71.60  70.05  68.85  69.75  69.85  66.45  67.05  65.60
##  [241]  66.55  70.00  68.30  70.40  75.35  83.00  80.15  77.20  74.65  75.10
##  [251]  74.40  78.30  80.50  87.25  88.90  94.90  94.80 102.30 105.10 103.75
##  [261]  96.25 100.10 103.25 105.30 110.50 113.45 118.05 115.25 121.85 134.45
##  [271] 131.60 120.90 123.95 116.85 112.55 124.80 125.15 121.90 119.00 117.00
##  [281] 121.90 125.55 113.00 107.60 105.45 102.10 104.15 103.25  99.45 103.15
##  [291] 105.35 104.90  96.10  91.65 100.00  92.20  88.20  89.00  93.45  94.85
##  [301]  99.65 103.45  98.35 103.90 106.95  96.80  97.40  90.75  92.75  94.35
##  [311] 102.60 107.10 119.55 119.95 118.40 124.30 117.60 115.10 109.45 110.95
##  [321] 112.10 105.70 103.65 105.30 107.00 108.35 105.25 112.00 107.20 106.50
##  [331] 101.80 100.65  98.10 101.25  95.90  95.25  95.30  99.50  98.40  97.00
##  [341]  95.60  99.40 105.45 104.30 103.25 106.20 103.40 102.45  98.65 104.45
##  [351] 107.65 103.90 104.05 102.05 108.00 112.45 115.85 113.10 115.55 123.20
##  [361] 121.85 121.55 125.40 126.20 120.45 120.30 119.70 116.30 118.35 114.75
##  [371] 113.20 119.25 114.35 111.50 109.45 113.35 109.25 110.85 112.85 107.70
##  [381] 103.75 103.00 102.80 109.50 112.90 117.40 114.85 114.70 113.60 111.00
##  [391] 107.25 107.75 114.00 112.70 117.65 120.60 115.55 114.65 112.65 113.75
##  [401] 118.05 129.90 128.65 137.00 139.30 125.00 121.45 118.90 121.75 124.90
##  [411] 123.45 125.95 127.75 130.75 134.20 133.10 132.70 136.30 133.10 131.45
##  [421] 139.10 147.20 149.85 160.15 164.60 148.75 150.05 130.90 130.40 131.90
##  [431] 130.85 135.25 130.45 128.55 136.00 138.00 134.00 133.90 135.85 134.40
##  [441] 143.95 150.15 149.55 140.05 135.65 137.30 140.15 135.80 132.85 140.25
##  [451] 141.90 138.85 135.10 133.10 134.15 122.05 115.35 115.60 108.65 113.00
##  [461] 112.10 110.95 108.95 114.10 101.60 109.85 110.95 108.40 110.90 116.90
##  [471] 115.80 119.65 118.90 119.55 112.35 108.90 109.45 105.30 108.30 116.20
##  [481] 115.85 118.40 119.30 111.85 119.00 119.85 125.70 127.55 135.00 137.40
##  [491] 133.85 129.55 116.70 116.75 115.05 112.30 116.25 123.95 127.85 137.90
##  [501] 128.95 123.70 121.10 122.85 125.30 134.80 127.70 129.70 135.65 142.88
##  [511] 136.20 135.38 138.23 131.10 135.50 138.43 141.15 143.05 145.50 139.80
##  [521] 135.93 145.35 140.75 139.60 131.95 128.80 132.75 134.75 129.05 128.00
##  [531] 130.15 130.30 135.85 137.40 132.70 129.10 131.80 135.20 133.00 134.25
##  [541] 132.40 134.25 133.75 144.95 160.25 167.00 164.05 163.23 166.55 165.28
##  [551] 175.33 167.80 176.25 186.28 179.68 186.20 189.85 187.85 180.60 181.10
##  [561] 182.15 186.40 198.85 203.45 205.15 200.45 209.85 202.15 204.50 208.98
##  [571] 225.25 236.67 240.50 230.70 234.60 240.32 245.00 249.30 251.95 271.65
##  [581] 267.70 272.90 273.70 276.80 268.60 259.90 274.95 288.10 294.25 299.35
##  [591] 287.05 269.30 259.15 263.70 270.95 264.95 249.55 249.00 263.45 263.15
##  [601] 252.55 241.50 239.55 238.00 240.35 266.15 278.90 289.20 271.25 263.00
##  [611] 231.45 228.90 224.35 239.55 244.85 235.15 230.20 233.95 234.20 229.60
##  [621] 227.15 227.05 210.95 217.88 226.85 221.75 225.25 225.40 217.35 215.95
##  [631] 215.30 200.05 203.25 201.65 185.60 181.35 178.75 182.45 183.00 179.20
##  [641] 177.70 175.00 173.50 176.55 177.70 167.80 157.50 155.60 150.05 155.15
##  [651] 170.85 175.90 184.45 186.95 173.70 173.80 166.25 160.30 163.15 164.55
##  [661] 162.70 180.80 173.30 173.50 167.77 162.35 161.65 157.75 154.70 149.90
##  [671] 147.30 142.15 149.88 142.10 137.40 146.60 146.85 147.35 153.35 155.68
##  [681] 148.30 147.95 141.05 136.95 143.10 142.90 143.35 136.50 135.30 137.15
##  [691] 140.15 135.25 141.65 133.90 140.30 143.80 135.60 127.25 127.05 126.95
##  [701] 122.25 118.70 120.00 120.95 119.15 122.60 122.25 118.25 122.90 120.50
##  [711] 113.05 112.10 113.95 115.55 114.65 113.70 114.40 116.70 114.65 109.10
##  [721] 105.55 104.05 105.75 107.28 110.25 105.80 114.50 115.30 116.35 116.35
##  [731] 120.65 117.15 114.40 125.20 135.70 139.90 168.55 179.80 196.05 197.85
##  [741] 171.15 180.60 185.00 201.20 201.20 204.75 200.60 184.85 182.50 181.90
##  [751] 177.50 172.10 173.70 173.25 170.45 172.02 158.95 170.70 179.15 192.13
##  [761] 180.85 188.75 181.60 195.75 192.85 179.65 178.00 186.05 206.50 220.40
##  [771] 210.65 191.50 188.00 182.40 192.00 189.65 187.48 181.10 174.13 174.88
##  [781] 169.07 161.05 180.05 171.00 162.45 161.90 166.85 163.20 148.65 136.75
##  [791] 136.50 126.45 143.35 138.20 140.90 135.10 138.70 141.15 133.45 132.90
##  [801] 137.20 126.95 126.15 135.10 132.05 127.15 131.70 125.60 122.95 127.00
##  [811] 122.25 125.25 127.80 137.50 121.90 120.45 115.85 113.35 113.35 122.70
##  [821] 124.30 131.60 125.85 118.45 120.95 117.75 112.15 121.90 121.00 124.00
##  [831] 118.10 118.45 119.70 126.70 119.00 114.90 116.00 116.35 120.40 115.55
##  [841] 115.75 113.00 118.80 124.40 133.85 127.55 127.25 120.45 122.95 122.75
##  [851] 120.85 123.45 128.80 124.70 121.30 127.10 136.95 140.75 134.35 144.85
##  [861] 142.75 145.70 141.90 146.20 142.50 136.85 138.80 143.90 150.10 149.95
##  [871] 147.10 151.40 151.55 148.00 155.40 156.10 165.50 171.35 159.45 157.85
##  [881] 152.30 141.20 135.55 138.20 136.15 137.05 142.85 149.30 153.20 152.40
##  [891] 146.25 145.75 147.80 144.40 141.25 139.65 140.80 137.60 139.30 140.05
##  [901] 138.90 129.85 131.05 133.10 132.60 132.10 131.20 125.55 126.55 123.55
##  [911] 119.95 124.05 126.55 131.70 136.55 137.85 140.15 140.30 128.05 130.20
##  [921] 127.75 129.40 140.00 134.45 128.05 130.00 126.45 125.25 126.60 123.95
##  [931] 127.55 123.80 124.80 127.55 120.60 116.95 120.40 126.20 128.45 122.25
##  [941] 121.25 125.15 120.40 121.85 117.95 119.45 120.35 118.85 116.95 117.20
##  [951] 118.15 117.45 117.30 115.75 120.35 120.45 115.25 113.95 120.40 122.75
##  [961] 117.25 115.20 113.85 111.50 111.25 107.05 110.65 110.45 107.75 107.00
##  [971] 101.20 100.55  98.10  98.80  95.45  99.90 102.45 108.95 116.55 122.10
##  [981] 119.65 120.05 113.85 112.60 107.15 103.25  98.80  96.95  99.70 100.95
##  [991] 101.60 103.85 104.95 106.80 103.70 102.60  97.95  96.45  96.95  95.30
## [1001]  94.60  93.90  94.50  93.20  90.40  90.20  92.70  89.25  89.45  87.35
## [1011]  93.30 104.60 100.95  96.00  99.80 108.25 109.45 105.20 105.85  99.75
## [1021]  98.15  97.30  92.85  92.60  93.60  93.85  99.50  98.40 100.90  99.00
## [1031]  93.70  95.70  99.45 104.00 109.45 106.15 114.60 118.55 123.70 129.45
## [1041] 130.70 132.50 126.35 118.95 112.15 110.15 102.65  98.35 109.10 108.85
## [1051] 110.10 105.60 107.05 119.70 115.85 114.90 118.60 116.05 105.20 104.45
## [1061] 110.10 104.80 103.60  96.30  98.90  95.20  93.75  95.65 102.25  96.15
## [1071] 101.05 108.40 118.95 115.45 114.70 120.10 127.10 134.80 133.35 113.60
## [1081] 113.65 108.95 111.55 107.25 105.60 104.40 106.95 109.25 115.50 121.70
## [1091] 115.35 119.10 123.70 125.95 128.25 123.70 128.15 124.05 122.95 124.50
## [1101] 121.15 127.50 136.85 128.75 132.45 125.45 128.50 121.60 127.25 129.15
## [1111] 136.85 139.95 152.30 144.25 150.10 162.35 161.65 157.45 149.90 157.25
## [1121] 152.55 151.30 161.20 189.00 179.55 176.00 182.75 178.25 189.50 190.55
## [1131] 185.60 187.30 194.35 204.05 201.35 203.40 199.85 203.95 203.55 219.70
## [1141] 233.30 243.85 244.05 232.70 235.90 231.20 226.10 238.45 239.65 237.90
## [1151] 235.90 241.85 251.65 246.85 240.05 224.15 222.95 220.30 221.85 228.40
## [1161] 231.65 223.60 227.30 222.55 210.45 212.90 215.85 229.45 232.40 228.90
## [1171] 227.65 226.60 228.45 222.90 203.70 206.70 217.20 209.45 226.60 215.95
## [1181] 242.00 228.42

Menampilkan ringkasan data

summary(data.ts)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    42.6    98.4   119.9   126.6   143.3   299.4

Membuat plot data deret waktu

ts.plot(data.ts, xlab="Date", ylab="Price", 
        main = "Time Series Plot")
points(data.ts)

Menyimpan plot

#menyimpan plot
#dev.copy(png, "eksplorasi.png")
#dev.off()

Single Moving Average & Double Moving Average

Pembagian Data

Pembagian data latih dan data uji dilakukan dengan perbandingan 80% data latih dan 20% data uji.

#membagi data latih dan data uji

training_ma <- data[1:946,]
training_ma
## # A tibble: 946 × 2
##    Date                Price
##    <dttm>              <dbl>
##  1 2000-01-07 00:00:00 114. 
##  2 2000-01-14 00:00:00 113. 
##  3 2000-01-21 00:00:00 111. 
##  4 2000-01-28 00:00:00 115. 
##  5 2000-02-04 00:00:00 113. 
##  6 2000-02-11 00:00:00 109. 
##  7 2000-02-18 00:00:00 104. 
##  8 2000-02-25 00:00:00  98.8
##  9 2000-03-03 00:00:00 104. 
## 10 2000-03-10 00:00:00 106. 
## # ℹ 936 more rows
testing_ma <- data[947:1182,]
testing_ma
## # A tibble: 236 × 2
##    Date                Price
##    <dttm>              <dbl>
##  1 2018-03-02 00:00:00  120.
##  2 2018-03-09 00:00:00  119.
##  3 2018-03-16 00:00:00  117.
##  4 2018-03-23 00:00:00  117.
##  5 2018-03-29 00:00:00  118.
##  6 2018-04-06 00:00:00  117.
##  7 2018-04-13 00:00:00  117.
##  8 2018-04-20 00:00:00  116.
##  9 2018-04-27 00:00:00  120.
## 10 2018-05-04 00:00:00  120.
## # ℹ 226 more rows
train_ma.ts <- ts(training_ma$`Price`)
train_ma.ts
## Time Series:
## Start = 1 
## End = 946 
## Frequency = 1 
##   [1] 114.15 112.55 111.20 114.70 112.90 108.80 104.30  98.80 104.35 106.10
##  [11] 106.10 103.15 103.70  99.60  92.65  97.75  95.30  96.85  91.80  97.95
##  [21]  99.20  95.55  91.85  87.25  87.05  84.85  80.80  89.15  96.65  87.40
##  [31]  85.60  80.65  78.40  77.75  75.00  77.40  76.25  78.00  83.00  79.45
##  [41]  81.05  84.15  75.60  73.60  74.15  68.55  68.30  67.00  63.65  62.90
##  [51]  65.40  65.55  64.35  65.00  68.30  67.10  63.20  62.65  59.80  64.95
##  [61]  63.30  61.70  59.00  60.10  60.30  58.10  57.60  57.15  60.95  63.65
##  [71]  64.95  63.80  59.90  57.90  58.15  59.40  55.90  56.10  53.85  52.05
##  [81]  53.75  51.30  50.40  48.40  54.35  50.95  50.50  48.50  49.05  48.30
##  [91]  46.65  44.70  43.85  43.40  45.40  44.70  48.65  46.40  42.60  43.00
## [101]  43.80  46.65  46.20  48.55  49.55  47.40  45.90  45.45  44.55  44.10
## [111]  48.00  45.85  48.45  54.75  54.30  57.20  55.00  53.20  53.05  49.70
## [121]  49.00  47.50  48.40  51.40  51.90  49.15  46.45  47.10  46.50  48.15
## [131]  49.85  47.35  48.40  48.10  47.55  46.90  49.20  51.50  55.50  59.80
## [141]  56.05  55.65  56.00  57.35  62.60  68.55  64.00  67.85  66.40  66.80
## [151]  66.60  63.40  56.85  62.20  61.35  61.25  65.05  66.25  67.65  65.30
## [161]  65.80  62.65  61.60  56.85  58.65  57.70  61.30  58.25  60.80  60.45
## [171]  62.45  63.75  67.00  67.70  64.70  65.65  58.35  59.40  60.50  56.05
## [181]  58.40  60.50  60.20  62.30  60.85  65.05  63.70  60.10  60.30  61.45
## [191]  64.55  68.45  63.00  63.35  65.10  61.20  60.50  63.10  58.65  60.35
## [201]  59.50  56.65  57.75  61.90  63.00  64.30  63.25  64.95  68.80  71.15
## [211]  74.45  75.50  71.80  74.00  70.30  75.05  73.05  74.65  75.55  71.95
## [221]  73.40  72.55  70.05  67.95  67.15  68.10  70.40  72.35  85.55  83.00
## [231]  83.25  75.70  71.60  70.05  68.85  69.75  69.85  66.45  67.05  65.60
## [241]  66.55  70.00  68.30  70.40  75.35  83.00  80.15  77.20  74.65  75.10
## [251]  74.40  78.30  80.50  87.25  88.90  94.90  94.80 102.30 105.10 103.75
## [261]  96.25 100.10 103.25 105.30 110.50 113.45 118.05 115.25 121.85 134.45
## [271] 131.60 120.90 123.95 116.85 112.55 124.80 125.15 121.90 119.00 117.00
## [281] 121.90 125.55 113.00 107.60 105.45 102.10 104.15 103.25  99.45 103.15
## [291] 105.35 104.90  96.10  91.65 100.00  92.20  88.20  89.00  93.45  94.85
## [301]  99.65 103.45  98.35 103.90 106.95  96.80  97.40  90.75  92.75  94.35
## [311] 102.60 107.10 119.55 119.95 118.40 124.30 117.60 115.10 109.45 110.95
## [321] 112.10 105.70 103.65 105.30 107.00 108.35 105.25 112.00 107.20 106.50
## [331] 101.80 100.65  98.10 101.25  95.90  95.25  95.30  99.50  98.40  97.00
## [341]  95.60  99.40 105.45 104.30 103.25 106.20 103.40 102.45  98.65 104.45
## [351] 107.65 103.90 104.05 102.05 108.00 112.45 115.85 113.10 115.55 123.20
## [361] 121.85 121.55 125.40 126.20 120.45 120.30 119.70 116.30 118.35 114.75
## [371] 113.20 119.25 114.35 111.50 109.45 113.35 109.25 110.85 112.85 107.70
## [381] 103.75 103.00 102.80 109.50 112.90 117.40 114.85 114.70 113.60 111.00
## [391] 107.25 107.75 114.00 112.70 117.65 120.60 115.55 114.65 112.65 113.75
## [401] 118.05 129.90 128.65 137.00 139.30 125.00 121.45 118.90 121.75 124.90
## [411] 123.45 125.95 127.75 130.75 134.20 133.10 132.70 136.30 133.10 131.45
## [421] 139.10 147.20 149.85 160.15 164.60 148.75 150.05 130.90 130.40 131.90
## [431] 130.85 135.25 130.45 128.55 136.00 138.00 134.00 133.90 135.85 134.40
## [441] 143.95 150.15 149.55 140.05 135.65 137.30 140.15 135.80 132.85 140.25
## [451] 141.90 138.85 135.10 133.10 134.15 122.05 115.35 115.60 108.65 113.00
## [461] 112.10 110.95 108.95 114.10 101.60 109.85 110.95 108.40 110.90 116.90
## [471] 115.80 119.65 118.90 119.55 112.35 108.90 109.45 105.30 108.30 116.20
## [481] 115.85 118.40 119.30 111.85 119.00 119.85 125.70 127.55 135.00 137.40
## [491] 133.85 129.55 116.70 116.75 115.05 112.30 116.25 123.95 127.85 137.90
## [501] 128.95 123.70 121.10 122.85 125.30 134.80 127.70 129.70 135.65 142.88
## [511] 136.20 135.38 138.23 131.10 135.50 138.43 141.15 143.05 145.50 139.80
## [521] 135.93 145.35 140.75 139.60 131.95 128.80 132.75 134.75 129.05 128.00
## [531] 130.15 130.30 135.85 137.40 132.70 129.10 131.80 135.20 133.00 134.25
## [541] 132.40 134.25 133.75 144.95 160.25 167.00 164.05 163.23 166.55 165.28
## [551] 175.33 167.80 176.25 186.28 179.68 186.20 189.85 187.85 180.60 181.10
## [561] 182.15 186.40 198.85 203.45 205.15 200.45 209.85 202.15 204.50 208.98
## [571] 225.25 236.67 240.50 230.70 234.60 240.32 245.00 249.30 251.95 271.65
## [581] 267.70 272.90 273.70 276.80 268.60 259.90 274.95 288.10 294.25 299.35
## [591] 287.05 269.30 259.15 263.70 270.95 264.95 249.55 249.00 263.45 263.15
## [601] 252.55 241.50 239.55 238.00 240.35 266.15 278.90 289.20 271.25 263.00
## [611] 231.45 228.90 224.35 239.55 244.85 235.15 230.20 233.95 234.20 229.60
## [621] 227.15 227.05 210.95 217.88 226.85 221.75 225.25 225.40 217.35 215.95
## [631] 215.30 200.05 203.25 201.65 185.60 181.35 178.75 182.45 183.00 179.20
## [641] 177.70 175.00 173.50 176.55 177.70 167.80 157.50 155.60 150.05 155.15
## [651] 170.85 175.90 184.45 186.95 173.70 173.80 166.25 160.30 163.15 164.55
## [661] 162.70 180.80 173.30 173.50 167.77 162.35 161.65 157.75 154.70 149.90
## [671] 147.30 142.15 149.88 142.10 137.40 146.60 146.85 147.35 153.35 155.68
## [681] 148.30 147.95 141.05 136.95 143.10 142.90 143.35 136.50 135.30 137.15
## [691] 140.15 135.25 141.65 133.90 140.30 143.80 135.60 127.25 127.05 126.95
## [701] 122.25 118.70 120.00 120.95 119.15 122.60 122.25 118.25 122.90 120.50
## [711] 113.05 112.10 113.95 115.55 114.65 113.70 114.40 116.70 114.65 109.10
## [721] 105.55 104.05 105.75 107.28 110.25 105.80 114.50 115.30 116.35 116.35
## [731] 120.65 117.15 114.40 125.20 135.70 139.90 168.55 179.80 196.05 197.85
## [741] 171.15 180.60 185.00 201.20 201.20 204.75 200.60 184.85 182.50 181.90
## [751] 177.50 172.10 173.70 173.25 170.45 172.02 158.95 170.70 179.15 192.13
## [761] 180.85 188.75 181.60 195.75 192.85 179.65 178.00 186.05 206.50 220.40
## [771] 210.65 191.50 188.00 182.40 192.00 189.65 187.48 181.10 174.13 174.88
## [781] 169.07 161.05 180.05 171.00 162.45 161.90 166.85 163.20 148.65 136.75
## [791] 136.50 126.45 143.35 138.20 140.90 135.10 138.70 141.15 133.45 132.90
## [801] 137.20 126.95 126.15 135.10 132.05 127.15 131.70 125.60 122.95 127.00
## [811] 122.25 125.25 127.80 137.50 121.90 120.45 115.85 113.35 113.35 122.70
## [821] 124.30 131.60 125.85 118.45 120.95 117.75 112.15 121.90 121.00 124.00
## [831] 118.10 118.45 119.70 126.70 119.00 114.90 116.00 116.35 120.40 115.55
## [841] 115.75 113.00 118.80 124.40 133.85 127.55 127.25 120.45 122.95 122.75
## [851] 120.85 123.45 128.80 124.70 121.30 127.10 136.95 140.75 134.35 144.85
## [861] 142.75 145.70 141.90 146.20 142.50 136.85 138.80 143.90 150.10 149.95
## [871] 147.10 151.40 151.55 148.00 155.40 156.10 165.50 171.35 159.45 157.85
## [881] 152.30 141.20 135.55 138.20 136.15 137.05 142.85 149.30 153.20 152.40
## [891] 146.25 145.75 147.80 144.40 141.25 139.65 140.80 137.60 139.30 140.05
## [901] 138.90 129.85 131.05 133.10 132.60 132.10 131.20 125.55 126.55 123.55
## [911] 119.95 124.05 126.55 131.70 136.55 137.85 140.15 140.30 128.05 130.20
## [921] 127.75 129.40 140.00 134.45 128.05 130.00 126.45 125.25 126.60 123.95
## [931] 127.55 123.80 124.80 127.55 120.60 116.95 120.40 126.20 128.45 122.25
## [941] 121.25 125.15 120.40 121.85 117.95 119.45
test_ma.ts <- ts(testing_ma$`Price`)
test_ma.ts
## Time Series:
## Start = 1 
## End = 236 
## Frequency = 1 
##   [1] 120.35 118.85 116.95 117.20 118.15 117.45 117.30 115.75 120.35 120.45
##  [11] 115.25 113.95 120.40 122.75 117.25 115.20 113.85 111.50 111.25 107.05
##  [21] 110.65 110.45 107.75 107.00 101.20 100.55  98.10  98.80  95.45  99.90
##  [31] 102.45 108.95 116.55 122.10 119.65 120.05 113.85 112.60 107.15 103.25
##  [41]  98.80  96.95  99.70 100.95 101.60 103.85 104.95 106.80 103.70 102.60
##  [51]  97.95  96.45  96.95  95.30  94.60  93.90  94.50  93.20  90.40  90.20
##  [61]  92.70  89.25  89.45  87.35  93.30 104.60 100.95  96.00  99.80 108.25
##  [71] 109.45 105.20 105.85  99.75  98.15  97.30  92.85  92.60  93.60  93.85
##  [81]  99.50  98.40 100.90  99.00  93.70  95.70  99.45 104.00 109.45 106.15
##  [91] 114.60 118.55 123.70 129.45 130.70 132.50 126.35 118.95 112.15 110.15
## [101] 102.65  98.35 109.10 108.85 110.10 105.60 107.05 119.70 115.85 114.90
## [111] 118.60 116.05 105.20 104.45 110.10 104.80 103.60  96.30  98.90  95.20
## [121]  93.75  95.65 102.25  96.15 101.05 108.40 118.95 115.45 114.70 120.10
## [131] 127.10 134.80 133.35 113.60 113.65 108.95 111.55 107.25 105.60 104.40
## [141] 106.95 109.25 115.50 121.70 115.35 119.10 123.70 125.95 128.25 123.70
## [151] 128.15 124.05 122.95 124.50 121.15 127.50 136.85 128.75 132.45 125.45
## [161] 128.50 121.60 127.25 129.15 136.85 139.95 152.30 144.25 150.10 162.35
## [171] 161.65 157.45 149.90 157.25 152.55 151.30 161.20 189.00 179.55 176.00
## [181] 182.75 178.25 189.50 190.55 185.60 187.30 194.35 204.05 201.35 203.40
## [191] 199.85 203.95 203.55 219.70 233.30 243.85 244.05 232.70 235.90 231.20
## [201] 226.10 238.45 239.65 237.90 235.90 241.85 251.65 246.85 240.05 224.15
## [211] 222.95 220.30 221.85 228.40 231.65 223.60 227.30 222.55 210.45 212.90
## [221] 215.85 229.45 232.40 228.90 227.65 226.60 228.45 222.90 203.70 206.70
## [231] 217.20 209.45 226.60 215.95 242.00 228.42

Eksplorasi Data

Eksplorasi data dilakukan pada keseluruhan data, data latih serta data uji menggunakan plot data deret waktu.

plot(data.ts, col="red",main="Plot semua data")
points(data.ts)

#eksplorasi data latih

plot(train_ma.ts, col="blue",main="Plot data latih")
points(train_ma.ts)

#eksplorasi data uji

plot(test_ma.ts, col="blue",main="Plot data uji")
points(test_ma.ts)

#Eksplorasi dengan GGPLOT

library(ggplot2)
ggplot() + 
  geom_line(data = training_ma, aes(x = Date, y = Price, col = "Data Latih")) +
  geom_line(data = testing_ma, aes(x = Date, y = Price, col = "Data Uji")) +
  labs(x = "Date", y = "Price", color = "Legend") +
  scale_colour_manual(name="Keterangan:", breaks = c("Data Latih", "Data Uji"),
                      values = c("blue", "red")) + 
  theme_bw() + theme(legend.position = "bottom",
                     plot.caption = element_text(hjust=0.5, size=12))

Single Moving Average (SMA)

data.sma<-SMA(train_ma.ts, n=4)
data.sma
## Time Series:
## Start = 1 
## End = 946 
## Frequency = 1 
##   [1]       NA       NA       NA 113.1500 112.8375 111.9000 110.1750 106.2000
##   [9] 104.0625 103.3875 103.8375 104.9250 104.7625 103.1375  99.7750  98.4250
##  [17]  96.3250  95.6375  95.4250  95.4750  96.4500  96.1250  96.1375  93.4625
##  [25]  90.4250  87.7500  84.9875  85.4625  87.8625  88.5000  89.7000  87.5750
##  [33]  83.0125  80.6000  77.9500  77.1375  76.6000  76.6625  78.6625  79.1750
##  [41]  80.3750  81.9125  80.0625  78.6000  76.8750  72.9750  71.1500  69.5000
##  [49]  66.8750  65.4625  64.7375  64.3750  64.5500  65.0750  65.8000  66.1875
##  [57]  65.9000  65.3125  63.1875  62.6500  62.6750  62.4375  62.2375  61.0250
##  [65]  60.2750  59.3750  59.0250  58.2875  58.4500  59.8375  61.6750  63.3375
##  [73]  63.0750  61.6375  59.9375  58.8375  57.8375  57.3875  56.3125  54.4750
##  [81]  53.9375  52.7375  51.8750  50.9625  51.1125  51.0250  51.0500  51.0750
##  [89]  49.7500  49.0875  48.1250  47.1750  45.8750  44.6500  44.3375  44.3375
##  [97]  45.5375  46.2875  45.5875  45.1625  43.9500  44.0125  44.9125  46.3000
## [105]  47.7375  47.9250  47.8500  47.0750  45.8250  45.0000  45.5250  45.6250
## [113]  46.6000  49.2625  50.8375  53.6750  55.3125  54.9250  54.6125  52.7375
## [121]  51.2375  49.8125  48.6500  49.0750  49.8000  50.2125  49.7250  48.6500
## [129]  47.3000  47.0500  47.9000  47.9625  48.4375  48.4250  47.8500  47.7375
## [137]  47.9375  48.7875  50.7750  54.0000  55.7125  56.7500  56.8750  56.2625
## [145]  57.9000  61.1250  63.1250  65.7500  66.7000  66.2625  66.9125  65.8000
## [153]  63.4125  62.2625  60.9500  60.4125  62.4625  63.4750  65.0500  66.0625
## [161]  66.2500  65.3500  63.8375  61.7250  59.9375  58.7000  58.6250  58.9750
## [169]  59.5125  60.2000  60.4875  61.8625  63.4125  65.2250  65.7875  66.2625
## [177]  64.1000  62.0250  60.9750  58.5750  58.5875  58.8625  58.7875  60.3500
## [185]  60.9625  62.1000  62.9750  62.4250  62.2875  61.3875  61.6000  63.6875
## [193]  64.3625  64.8375  64.9750  63.1625  62.5375  62.4750  60.8625  60.6500
## [201]  60.4000  58.7875  58.5625  58.9500  59.8250  61.7375  63.1125  63.8750
## [209]  65.3250  67.0375  69.8375  72.4750  73.2250  73.9375  72.9000  72.7875
## [217]  73.1000  73.2625  74.5750  73.8000  73.8875  73.3625  71.9875  70.9875
## [225]  69.4250  68.3125  68.4000  69.5000  74.1000  77.8250  81.0375  81.8750
## [233]  78.3875  75.1500  71.5500  70.0625  69.6250  68.7250  68.2750  67.2375
## [241]  66.4125  67.3000  67.6125  68.8125  71.0125  74.2625  77.2250  78.9250
## [249]  78.7500  76.7750  75.3375  75.6125  77.0750  80.1125  83.7375  87.8875
## [257]  91.4625  95.2250  99.2750 101.4875 101.8500 101.3000 100.8375 101.2250
## [265] 104.7875 108.1250 111.8250 114.3125 117.1500 122.4000 125.7875 127.2000
## [273] 127.7250 123.3250 118.5625 119.5375 119.8375 121.1000 122.7125 120.7625
## [281] 119.9500 120.8625 119.3625 117.0125 112.9000 107.0375 104.8250 103.7375
## [289] 102.2375 102.5000 102.8000 103.2125 102.3750  99.5000  98.1625  94.9875
## [297]  93.0125  92.3500  90.7125  91.3750  94.2375  97.8500  99.0750 101.3375
## [305] 103.1625 101.5000 101.2625  97.9750  94.4250  93.8125  95.1125  99.2000
## [313] 105.9000 112.3000 116.2500 120.5500 120.0625 118.8500 116.6125 113.2750
## [321] 111.9000 109.5500 108.1000 106.6875 105.4125 106.0750 106.4750 108.1500
## [329] 108.2000 107.7375 106.8750 104.0375 101.7625 100.4500  98.9750  97.6250
## [337]  96.9250  96.4875  97.1125  97.5500  97.6250  97.6000  99.3625 101.1875
## [345] 103.1000 104.8000 104.2875 103.8250 102.6750 102.2375 103.3000 103.6625
## [353] 105.0125 104.4125 104.5000 106.6375 109.5875 112.3500 114.2375 116.9250
## [361] 118.4250 120.5375 123.0000 123.7500 123.4000 123.0875 121.6625 119.1875
## [369] 118.6625 117.2750 115.6500 116.3875 115.3875 114.5750 113.6375 112.1625
## [377] 110.8875 110.7250 111.5750 110.1625 108.7875 106.8250 104.3125 104.7625
## [385] 107.0500 110.6500 113.6625 114.9625 115.1375 113.5375 111.6375 109.9000
## [393] 110.0000 110.4250 113.0250 116.2375 116.6250 117.1125 115.8625 114.1500
## [401] 114.7750 118.5875 122.5875 128.4000 133.7125 132.4875 130.6875 126.1625
## [409] 121.7750 121.7500 122.2500 124.0125 125.5125 126.9750 129.6625 131.4500
## [417] 132.6875 134.0750 133.8000 133.3875 134.9875 137.7125 141.9000 149.0750
## [425] 155.4500 155.8375 155.8875 148.5750 140.0250 135.8125 131.0125 132.1000
## [433] 132.1125 131.2750 132.5625 133.2500 134.1375 135.4750 135.4375 134.5375
## [441] 137.0250 141.0875 144.5125 145.9250 143.8500 140.6375 138.2875 137.2250
## [449] 136.5250 137.2625 137.7000 138.4625 139.0250 137.2375 135.3000 131.1000
## [457] 126.1625 121.7875 115.4125 113.1500 112.3375 111.1750 111.2500 111.5250
## [465] 108.9000 108.6250 109.1250 107.7000 110.0250 111.7875 113.0000 115.8125
## [473] 117.8125 118.4750 117.6125 114.9250 112.5625 109.0000 107.9875 109.8125
## [481] 111.4125 114.6875 117.4375 116.3500 117.1375 117.5000 119.1000 123.0250
## [489] 127.0250 131.4125 133.4500 133.9500 129.3750 124.2125 119.5125 115.2000
## [497] 115.0875 116.8875 120.0875 126.4875 129.6625 129.6000 127.9125 124.1500
## [505] 123.2375 126.0125 127.6625 129.3750 131.9625 133.9825 136.1075 137.5275
## [513] 138.1725 135.2275 135.0525 135.8150 136.5450 139.5325 142.0325 142.3750
## [521] 141.0700 141.6450 140.4575 140.4075 139.4125 135.2750 133.2750 132.0625
## [529] 131.3375 131.1375 130.4875 129.3750 131.0750 133.4250 134.0625 133.7625
## [537] 132.7500 132.2000 132.2750 133.5625 133.7125 133.4750 133.6625 136.3375
## [545] 143.3000 151.4875 159.0625 163.6325 165.2075 164.7775 167.5975 168.7400
## [553] 171.1650 176.4150 177.5025 182.1025 185.5025 185.8950 186.1250 184.8500
## [561] 182.9250 182.5625 187.1250 192.7125 198.4625 201.9750 204.7250 204.4000
## [569] 204.2375 206.3700 210.2200 218.8500 227.8500 233.2800 235.6175 236.5300
## [577] 237.6550 242.3050 246.6425 254.4750 260.1500 266.0500 271.4875 272.7750
## [585] 273.0000 269.7500 270.0625 272.8875 279.3000 289.1625 292.1875 287.4875
## [593] 278.7125 269.8000 265.7750 264.6875 262.2875 258.6125 256.7375 256.2875
## [601] 257.0375 255.1625 249.1875 242.9000 239.8500 246.0125 255.8500 268.6500
## [609] 276.3750 275.5875 263.7250 248.6500 236.9250 231.0625 234.4125 235.9750
## [617] 237.4375 236.0375 233.3750 231.9875 231.2250 229.5000 223.6875 220.7575
## [625] 220.6825 219.3575 222.9325 224.8125 222.4375 220.9875 218.5000 212.1625
## [633] 208.6375 205.0625 197.6375 192.9625 186.8375 182.0375 181.3875 180.8500
## [641] 180.5875 178.7250 176.3500 175.6875 175.6875 173.8875 169.8875 164.6500
## [649] 157.7375 154.5750 157.9125 162.9875 171.5875 179.5375 180.2500 179.7250
## [657] 175.1750 168.5125 165.8750 163.5625 162.6750 167.8000 170.3375 172.5750
## [665] 173.8425 169.2300 166.3175 162.3800 159.1125 156.0000 152.4125 148.5125
## [673] 147.3075 145.3575 142.8825 143.9950 143.2375 144.5500 148.5375 150.8075
## [681] 151.1700 151.3200 148.2450 143.5625 142.2625 141.0000 141.5750 141.4625
## [689] 139.5125 138.0750 137.2750 136.9625 138.5500 137.7375 137.7750 139.9125
## [697] 138.4000 136.7375 133.4250 129.2125 125.8750 123.7375 121.9750 120.4750
## [705] 119.7000 120.6750 121.2375 120.5625 121.5000 120.9750 118.6750 117.1375
## [713] 114.9000 113.6625 114.0625 114.4625 114.5750 114.8625 114.8625 113.7125
## [721] 111.5000 108.3375 106.1125 105.6575 106.8325 107.2700 109.4575 111.4625
## [729] 112.9875 115.6250 117.1625 117.6250 117.1375 119.3500 123.1125 128.8000
## [737] 142.3375 155.9875 171.0750 185.5625 186.2125 186.4125 183.6500 184.4875
## [745] 192.0000 198.0375 201.9375 197.8500 193.1750 187.4625 181.6875 178.5000
## [753] 176.3000 174.1375 172.3750 172.3550 168.6675 168.0300 170.2050 175.2325
## [761] 180.7075 185.2200 185.8325 186.7375 189.7375 187.4625 186.5625 184.1375
## [769] 187.5500 197.7375 205.9000 207.2625 202.6375 193.1375 188.4750 188.0125
## [777] 187.8825 187.5575 183.0900 179.3975 174.7950 169.7825 171.2625 170.2925
## [785] 168.6375 168.8500 165.5500 163.6000 160.1500 153.8625 146.2750 137.0875
## [793] 135.7625 136.1250 137.2250 139.3875 138.2250 138.9625 137.1000 136.5500
## [801] 136.1750 132.6250 130.8000 131.3500 130.0625 130.1125 131.5000 129.1250
## [809] 126.8500 126.8125 124.4500 124.3625 125.5750 128.2000 128.1125 126.9125
## [817] 123.9250 117.8875 115.7500 116.3125 118.4250 122.9875 126.1125 125.0500
## [825] 124.2125 120.7500 117.3250 118.1875 118.2000 119.7625 121.2500 120.3875
## [833] 120.0625 120.7375 120.9625 120.0750 119.1500 116.5625 116.9125 117.0750
## [841] 117.0125 116.1750 115.7750 117.9875 122.5125 126.1500 128.2625 127.2750
## [849] 124.5500 123.3500 121.7500 122.5000 123.9625 124.4500 124.5625 125.4750
## [857] 127.5125 131.5250 134.7875 139.2250 140.6750 141.9125 143.8000 144.1375
## [865] 144.0750 141.8625 141.0875 140.5125 142.4125 145.6875 147.7625 149.6375
## [873] 150.0000 149.5125 151.5875 152.7625 156.2500 162.0875 163.1000 163.5375
## [881] 160.2375 152.7000 146.7250 141.8125 137.7750 136.7375 138.5625 141.3375
## [889] 145.6000 149.4375 150.2875 149.4000 148.0500 146.0500 144.8000 143.2750
## [897] 141.5250 139.8250 139.3375 139.4375 138.9625 137.0250 134.9625 133.2250
## [905] 131.6500 132.2125 132.2500 130.3625 128.8500 126.7125 123.9000 123.5250
## [913] 123.5250 125.5625 129.7125 133.1625 136.5625 138.7125 136.5875 134.6750
## [921] 131.5750 128.8500 131.8375 132.9000 132.9750 133.1250 129.7375 127.4375
## [929] 127.0750 125.5625 125.8375 125.4750 125.0250 125.9250 124.1875 122.4750
## [937] 121.3750 121.0375 123.0000 124.3250 124.5375 124.2750 122.2625 122.1625
## [945] 121.3375 119.9125
data.ramal<-c(NA,data.sma)
data.ramal #forecast 1 periode ke depan
##   [1]       NA       NA       NA       NA 113.1500 112.8375 111.9000 110.1750
##   [9] 106.2000 104.0625 103.3875 103.8375 104.9250 104.7625 103.1375  99.7750
##  [17]  98.4250  96.3250  95.6375  95.4250  95.4750  96.4500  96.1250  96.1375
##  [25]  93.4625  90.4250  87.7500  84.9875  85.4625  87.8625  88.5000  89.7000
##  [33]  87.5750  83.0125  80.6000  77.9500  77.1375  76.6000  76.6625  78.6625
##  [41]  79.1750  80.3750  81.9125  80.0625  78.6000  76.8750  72.9750  71.1500
##  [49]  69.5000  66.8750  65.4625  64.7375  64.3750  64.5500  65.0750  65.8000
##  [57]  66.1875  65.9000  65.3125  63.1875  62.6500  62.6750  62.4375  62.2375
##  [65]  61.0250  60.2750  59.3750  59.0250  58.2875  58.4500  59.8375  61.6750
##  [73]  63.3375  63.0750  61.6375  59.9375  58.8375  57.8375  57.3875  56.3125
##  [81]  54.4750  53.9375  52.7375  51.8750  50.9625  51.1125  51.0250  51.0500
##  [89]  51.0750  49.7500  49.0875  48.1250  47.1750  45.8750  44.6500  44.3375
##  [97]  44.3375  45.5375  46.2875  45.5875  45.1625  43.9500  44.0125  44.9125
## [105]  46.3000  47.7375  47.9250  47.8500  47.0750  45.8250  45.0000  45.5250
## [113]  45.6250  46.6000  49.2625  50.8375  53.6750  55.3125  54.9250  54.6125
## [121]  52.7375  51.2375  49.8125  48.6500  49.0750  49.8000  50.2125  49.7250
## [129]  48.6500  47.3000  47.0500  47.9000  47.9625  48.4375  48.4250  47.8500
## [137]  47.7375  47.9375  48.7875  50.7750  54.0000  55.7125  56.7500  56.8750
## [145]  56.2625  57.9000  61.1250  63.1250  65.7500  66.7000  66.2625  66.9125
## [153]  65.8000  63.4125  62.2625  60.9500  60.4125  62.4625  63.4750  65.0500
## [161]  66.0625  66.2500  65.3500  63.8375  61.7250  59.9375  58.7000  58.6250
## [169]  58.9750  59.5125  60.2000  60.4875  61.8625  63.4125  65.2250  65.7875
## [177]  66.2625  64.1000  62.0250  60.9750  58.5750  58.5875  58.8625  58.7875
## [185]  60.3500  60.9625  62.1000  62.9750  62.4250  62.2875  61.3875  61.6000
## [193]  63.6875  64.3625  64.8375  64.9750  63.1625  62.5375  62.4750  60.8625
## [201]  60.6500  60.4000  58.7875  58.5625  58.9500  59.8250  61.7375  63.1125
## [209]  63.8750  65.3250  67.0375  69.8375  72.4750  73.2250  73.9375  72.9000
## [217]  72.7875  73.1000  73.2625  74.5750  73.8000  73.8875  73.3625  71.9875
## [225]  70.9875  69.4250  68.3125  68.4000  69.5000  74.1000  77.8250  81.0375
## [233]  81.8750  78.3875  75.1500  71.5500  70.0625  69.6250  68.7250  68.2750
## [241]  67.2375  66.4125  67.3000  67.6125  68.8125  71.0125  74.2625  77.2250
## [249]  78.9250  78.7500  76.7750  75.3375  75.6125  77.0750  80.1125  83.7375
## [257]  87.8875  91.4625  95.2250  99.2750 101.4875 101.8500 101.3000 100.8375
## [265] 101.2250 104.7875 108.1250 111.8250 114.3125 117.1500 122.4000 125.7875
## [273] 127.2000 127.7250 123.3250 118.5625 119.5375 119.8375 121.1000 122.7125
## [281] 120.7625 119.9500 120.8625 119.3625 117.0125 112.9000 107.0375 104.8250
## [289] 103.7375 102.2375 102.5000 102.8000 103.2125 102.3750  99.5000  98.1625
## [297]  94.9875  93.0125  92.3500  90.7125  91.3750  94.2375  97.8500  99.0750
## [305] 101.3375 103.1625 101.5000 101.2625  97.9750  94.4250  93.8125  95.1125
## [313]  99.2000 105.9000 112.3000 116.2500 120.5500 120.0625 118.8500 116.6125
## [321] 113.2750 111.9000 109.5500 108.1000 106.6875 105.4125 106.0750 106.4750
## [329] 108.1500 108.2000 107.7375 106.8750 104.0375 101.7625 100.4500  98.9750
## [337]  97.6250  96.9250  96.4875  97.1125  97.5500  97.6250  97.6000  99.3625
## [345] 101.1875 103.1000 104.8000 104.2875 103.8250 102.6750 102.2375 103.3000
## [353] 103.6625 105.0125 104.4125 104.5000 106.6375 109.5875 112.3500 114.2375
## [361] 116.9250 118.4250 120.5375 123.0000 123.7500 123.4000 123.0875 121.6625
## [369] 119.1875 118.6625 117.2750 115.6500 116.3875 115.3875 114.5750 113.6375
## [377] 112.1625 110.8875 110.7250 111.5750 110.1625 108.7875 106.8250 104.3125
## [385] 104.7625 107.0500 110.6500 113.6625 114.9625 115.1375 113.5375 111.6375
## [393] 109.9000 110.0000 110.4250 113.0250 116.2375 116.6250 117.1125 115.8625
## [401] 114.1500 114.7750 118.5875 122.5875 128.4000 133.7125 132.4875 130.6875
## [409] 126.1625 121.7750 121.7500 122.2500 124.0125 125.5125 126.9750 129.6625
## [417] 131.4500 132.6875 134.0750 133.8000 133.3875 134.9875 137.7125 141.9000
## [425] 149.0750 155.4500 155.8375 155.8875 148.5750 140.0250 135.8125 131.0125
## [433] 132.1000 132.1125 131.2750 132.5625 133.2500 134.1375 135.4750 135.4375
## [441] 134.5375 137.0250 141.0875 144.5125 145.9250 143.8500 140.6375 138.2875
## [449] 137.2250 136.5250 137.2625 137.7000 138.4625 139.0250 137.2375 135.3000
## [457] 131.1000 126.1625 121.7875 115.4125 113.1500 112.3375 111.1750 111.2500
## [465] 111.5250 108.9000 108.6250 109.1250 107.7000 110.0250 111.7875 113.0000
## [473] 115.8125 117.8125 118.4750 117.6125 114.9250 112.5625 109.0000 107.9875
## [481] 109.8125 111.4125 114.6875 117.4375 116.3500 117.1375 117.5000 119.1000
## [489] 123.0250 127.0250 131.4125 133.4500 133.9500 129.3750 124.2125 119.5125
## [497] 115.2000 115.0875 116.8875 120.0875 126.4875 129.6625 129.6000 127.9125
## [505] 124.1500 123.2375 126.0125 127.6625 129.3750 131.9625 133.9825 136.1075
## [513] 137.5275 138.1725 135.2275 135.0525 135.8150 136.5450 139.5325 142.0325
## [521] 142.3750 141.0700 141.6450 140.4575 140.4075 139.4125 135.2750 133.2750
## [529] 132.0625 131.3375 131.1375 130.4875 129.3750 131.0750 133.4250 134.0625
## [537] 133.7625 132.7500 132.2000 132.2750 133.5625 133.7125 133.4750 133.6625
## [545] 136.3375 143.3000 151.4875 159.0625 163.6325 165.2075 164.7775 167.5975
## [553] 168.7400 171.1650 176.4150 177.5025 182.1025 185.5025 185.8950 186.1250
## [561] 184.8500 182.9250 182.5625 187.1250 192.7125 198.4625 201.9750 204.7250
## [569] 204.4000 204.2375 206.3700 210.2200 218.8500 227.8500 233.2800 235.6175
## [577] 236.5300 237.6550 242.3050 246.6425 254.4750 260.1500 266.0500 271.4875
## [585] 272.7750 273.0000 269.7500 270.0625 272.8875 279.3000 289.1625 292.1875
## [593] 287.4875 278.7125 269.8000 265.7750 264.6875 262.2875 258.6125 256.7375
## [601] 256.2875 257.0375 255.1625 249.1875 242.9000 239.8500 246.0125 255.8500
## [609] 268.6500 276.3750 275.5875 263.7250 248.6500 236.9250 231.0625 234.4125
## [617] 235.9750 237.4375 236.0375 233.3750 231.9875 231.2250 229.5000 223.6875
## [625] 220.7575 220.6825 219.3575 222.9325 224.8125 222.4375 220.9875 218.5000
## [633] 212.1625 208.6375 205.0625 197.6375 192.9625 186.8375 182.0375 181.3875
## [641] 180.8500 180.5875 178.7250 176.3500 175.6875 175.6875 173.8875 169.8875
## [649] 164.6500 157.7375 154.5750 157.9125 162.9875 171.5875 179.5375 180.2500
## [657] 179.7250 175.1750 168.5125 165.8750 163.5625 162.6750 167.8000 170.3375
## [665] 172.5750 173.8425 169.2300 166.3175 162.3800 159.1125 156.0000 152.4125
## [673] 148.5125 147.3075 145.3575 142.8825 143.9950 143.2375 144.5500 148.5375
## [681] 150.8075 151.1700 151.3200 148.2450 143.5625 142.2625 141.0000 141.5750
## [689] 141.4625 139.5125 138.0750 137.2750 136.9625 138.5500 137.7375 137.7750
## [697] 139.9125 138.4000 136.7375 133.4250 129.2125 125.8750 123.7375 121.9750
## [705] 120.4750 119.7000 120.6750 121.2375 120.5625 121.5000 120.9750 118.6750
## [713] 117.1375 114.9000 113.6625 114.0625 114.4625 114.5750 114.8625 114.8625
## [721] 113.7125 111.5000 108.3375 106.1125 105.6575 106.8325 107.2700 109.4575
## [729] 111.4625 112.9875 115.6250 117.1625 117.6250 117.1375 119.3500 123.1125
## [737] 128.8000 142.3375 155.9875 171.0750 185.5625 186.2125 186.4125 183.6500
## [745] 184.4875 192.0000 198.0375 201.9375 197.8500 193.1750 187.4625 181.6875
## [753] 178.5000 176.3000 174.1375 172.3750 172.3550 168.6675 168.0300 170.2050
## [761] 175.2325 180.7075 185.2200 185.8325 186.7375 189.7375 187.4625 186.5625
## [769] 184.1375 187.5500 197.7375 205.9000 207.2625 202.6375 193.1375 188.4750
## [777] 188.0125 187.8825 187.5575 183.0900 179.3975 174.7950 169.7825 171.2625
## [785] 170.2925 168.6375 168.8500 165.5500 163.6000 160.1500 153.8625 146.2750
## [793] 137.0875 135.7625 136.1250 137.2250 139.3875 138.2250 138.9625 137.1000
## [801] 136.5500 136.1750 132.6250 130.8000 131.3500 130.0625 130.1125 131.5000
## [809] 129.1250 126.8500 126.8125 124.4500 124.3625 125.5750 128.2000 128.1125
## [817] 126.9125 123.9250 117.8875 115.7500 116.3125 118.4250 122.9875 126.1125
## [825] 125.0500 124.2125 120.7500 117.3250 118.1875 118.2000 119.7625 121.2500
## [833] 120.3875 120.0625 120.7375 120.9625 120.0750 119.1500 116.5625 116.9125
## [841] 117.0750 117.0125 116.1750 115.7750 117.9875 122.5125 126.1500 128.2625
## [849] 127.2750 124.5500 123.3500 121.7500 122.5000 123.9625 124.4500 124.5625
## [857] 125.4750 127.5125 131.5250 134.7875 139.2250 140.6750 141.9125 143.8000
## [865] 144.1375 144.0750 141.8625 141.0875 140.5125 142.4125 145.6875 147.7625
## [873] 149.6375 150.0000 149.5125 151.5875 152.7625 156.2500 162.0875 163.1000
## [881] 163.5375 160.2375 152.7000 146.7250 141.8125 137.7750 136.7375 138.5625
## [889] 141.3375 145.6000 149.4375 150.2875 149.4000 148.0500 146.0500 144.8000
## [897] 143.2750 141.5250 139.8250 139.3375 139.4375 138.9625 137.0250 134.9625
## [905] 133.2250 131.6500 132.2125 132.2500 130.3625 128.8500 126.7125 123.9000
## [913] 123.5250 123.5250 125.5625 129.7125 133.1625 136.5625 138.7125 136.5875
## [921] 134.6750 131.5750 128.8500 131.8375 132.9000 132.9750 133.1250 129.7375
## [929] 127.4375 127.0750 125.5625 125.8375 125.4750 125.0250 125.9250 124.1875
## [937] 122.4750 121.3750 121.0375 123.0000 124.3250 124.5375 124.2750 122.2625
## [945] 122.1625 121.3375 119.9125

Selanjutnya akan dilakukan peramalan sejumlah data uji yaitu 24 periode. Pada metode SMA, hasil peramalan 24 periode ke depan akan bernilai sama dengan hasil peramalan 1 periode kedepan. Dalam hal ini akan dilakukan pengguabungan data aktual train, data hasil pemulusan dan data hasil ramalan 24 periode kedepan.

data.gab<-cbind(aktual=c(train_ma.ts,rep(NA,236)),pemulusan=c(data.sma,rep(NA,236)),ramalan=c(data.ramal,rep(data.ramal[length(data.ramal)],235)))
data.gab #forecast 24 periode ke depan
##         aktual pemulusan  ramalan
##    [1,] 114.15        NA       NA
##    [2,] 112.55        NA       NA
##    [3,] 111.20        NA       NA
##    [4,] 114.70  113.1500       NA
##    [5,] 112.90  112.8375 113.1500
##    [6,] 108.80  111.9000 112.8375
##    [7,] 104.30  110.1750 111.9000
##    [8,]  98.80  106.2000 110.1750
##    [9,] 104.35  104.0625 106.2000
##   [10,] 106.10  103.3875 104.0625
##   [11,] 106.10  103.8375 103.3875
##   [12,] 103.15  104.9250 103.8375
##   [13,] 103.70  104.7625 104.9250
##   [14,]  99.60  103.1375 104.7625
##   [15,]  92.65   99.7750 103.1375
##   [16,]  97.75   98.4250  99.7750
##   [17,]  95.30   96.3250  98.4250
##   [18,]  96.85   95.6375  96.3250
##   [19,]  91.80   95.4250  95.6375
##   [20,]  97.95   95.4750  95.4250
##   [21,]  99.20   96.4500  95.4750
##   [22,]  95.55   96.1250  96.4500
##   [23,]  91.85   96.1375  96.1250
##   [24,]  87.25   93.4625  96.1375
##   [25,]  87.05   90.4250  93.4625
##   [26,]  84.85   87.7500  90.4250
##   [27,]  80.80   84.9875  87.7500
##   [28,]  89.15   85.4625  84.9875
##   [29,]  96.65   87.8625  85.4625
##   [30,]  87.40   88.5000  87.8625
##   [31,]  85.60   89.7000  88.5000
##   [32,]  80.65   87.5750  89.7000
##   [33,]  78.40   83.0125  87.5750
##   [34,]  77.75   80.6000  83.0125
##   [35,]  75.00   77.9500  80.6000
##   [36,]  77.40   77.1375  77.9500
##   [37,]  76.25   76.6000  77.1375
##   [38,]  78.00   76.6625  76.6000
##   [39,]  83.00   78.6625  76.6625
##   [40,]  79.45   79.1750  78.6625
##   [41,]  81.05   80.3750  79.1750
##   [42,]  84.15   81.9125  80.3750
##   [43,]  75.60   80.0625  81.9125
##   [44,]  73.60   78.6000  80.0625
##   [45,]  74.15   76.8750  78.6000
##   [46,]  68.55   72.9750  76.8750
##   [47,]  68.30   71.1500  72.9750
##   [48,]  67.00   69.5000  71.1500
##   [49,]  63.65   66.8750  69.5000
##   [50,]  62.90   65.4625  66.8750
##   [51,]  65.40   64.7375  65.4625
##   [52,]  65.55   64.3750  64.7375
##   [53,]  64.35   64.5500  64.3750
##   [54,]  65.00   65.0750  64.5500
##   [55,]  68.30   65.8000  65.0750
##   [56,]  67.10   66.1875  65.8000
##   [57,]  63.20   65.9000  66.1875
##   [58,]  62.65   65.3125  65.9000
##   [59,]  59.80   63.1875  65.3125
##   [60,]  64.95   62.6500  63.1875
##   [61,]  63.30   62.6750  62.6500
##   [62,]  61.70   62.4375  62.6750
##   [63,]  59.00   62.2375  62.4375
##   [64,]  60.10   61.0250  62.2375
##   [65,]  60.30   60.2750  61.0250
##   [66,]  58.10   59.3750  60.2750
##   [67,]  57.60   59.0250  59.3750
##   [68,]  57.15   58.2875  59.0250
##   [69,]  60.95   58.4500  58.2875
##   [70,]  63.65   59.8375  58.4500
##   [71,]  64.95   61.6750  59.8375
##   [72,]  63.80   63.3375  61.6750
##   [73,]  59.90   63.0750  63.3375
##   [74,]  57.90   61.6375  63.0750
##   [75,]  58.15   59.9375  61.6375
##   [76,]  59.40   58.8375  59.9375
##   [77,]  55.90   57.8375  58.8375
##   [78,]  56.10   57.3875  57.8375
##   [79,]  53.85   56.3125  57.3875
##   [80,]  52.05   54.4750  56.3125
##   [81,]  53.75   53.9375  54.4750
##   [82,]  51.30   52.7375  53.9375
##   [83,]  50.40   51.8750  52.7375
##   [84,]  48.40   50.9625  51.8750
##   [85,]  54.35   51.1125  50.9625
##   [86,]  50.95   51.0250  51.1125
##   [87,]  50.50   51.0500  51.0250
##   [88,]  48.50   51.0750  51.0500
##   [89,]  49.05   49.7500  51.0750
##   [90,]  48.30   49.0875  49.7500
##   [91,]  46.65   48.1250  49.0875
##   [92,]  44.70   47.1750  48.1250
##   [93,]  43.85   45.8750  47.1750
##   [94,]  43.40   44.6500  45.8750
##   [95,]  45.40   44.3375  44.6500
##   [96,]  44.70   44.3375  44.3375
##   [97,]  48.65   45.5375  44.3375
##   [98,]  46.40   46.2875  45.5375
##   [99,]  42.60   45.5875  46.2875
##  [100,]  43.00   45.1625  45.5875
##  [101,]  43.80   43.9500  45.1625
##  [102,]  46.65   44.0125  43.9500
##  [103,]  46.20   44.9125  44.0125
##  [104,]  48.55   46.3000  44.9125
##  [105,]  49.55   47.7375  46.3000
##  [106,]  47.40   47.9250  47.7375
##  [107,]  45.90   47.8500  47.9250
##  [108,]  45.45   47.0750  47.8500
##  [109,]  44.55   45.8250  47.0750
##  [110,]  44.10   45.0000  45.8250
##  [111,]  48.00   45.5250  45.0000
##  [112,]  45.85   45.6250  45.5250
##  [113,]  48.45   46.6000  45.6250
##  [114,]  54.75   49.2625  46.6000
##  [115,]  54.30   50.8375  49.2625
##  [116,]  57.20   53.6750  50.8375
##  [117,]  55.00   55.3125  53.6750
##  [118,]  53.20   54.9250  55.3125
##  [119,]  53.05   54.6125  54.9250
##  [120,]  49.70   52.7375  54.6125
##  [121,]  49.00   51.2375  52.7375
##  [122,]  47.50   49.8125  51.2375
##  [123,]  48.40   48.6500  49.8125
##  [124,]  51.40   49.0750  48.6500
##  [125,]  51.90   49.8000  49.0750
##  [126,]  49.15   50.2125  49.8000
##  [127,]  46.45   49.7250  50.2125
##  [128,]  47.10   48.6500  49.7250
##  [129,]  46.50   47.3000  48.6500
##  [130,]  48.15   47.0500  47.3000
##  [131,]  49.85   47.9000  47.0500
##  [132,]  47.35   47.9625  47.9000
##  [133,]  48.40   48.4375  47.9625
##  [134,]  48.10   48.4250  48.4375
##  [135,]  47.55   47.8500  48.4250
##  [136,]  46.90   47.7375  47.8500
##  [137,]  49.20   47.9375  47.7375
##  [138,]  51.50   48.7875  47.9375
##  [139,]  55.50   50.7750  48.7875
##  [140,]  59.80   54.0000  50.7750
##  [141,]  56.05   55.7125  54.0000
##  [142,]  55.65   56.7500  55.7125
##  [143,]  56.00   56.8750  56.7500
##  [144,]  57.35   56.2625  56.8750
##  [145,]  62.60   57.9000  56.2625
##  [146,]  68.55   61.1250  57.9000
##  [147,]  64.00   63.1250  61.1250
##  [148,]  67.85   65.7500  63.1250
##  [149,]  66.40   66.7000  65.7500
##  [150,]  66.80   66.2625  66.7000
##  [151,]  66.60   66.9125  66.2625
##  [152,]  63.40   65.8000  66.9125
##  [153,]  56.85   63.4125  65.8000
##  [154,]  62.20   62.2625  63.4125
##  [155,]  61.35   60.9500  62.2625
##  [156,]  61.25   60.4125  60.9500
##  [157,]  65.05   62.4625  60.4125
##  [158,]  66.25   63.4750  62.4625
##  [159,]  67.65   65.0500  63.4750
##  [160,]  65.30   66.0625  65.0500
##  [161,]  65.80   66.2500  66.0625
##  [162,]  62.65   65.3500  66.2500
##  [163,]  61.60   63.8375  65.3500
##  [164,]  56.85   61.7250  63.8375
##  [165,]  58.65   59.9375  61.7250
##  [166,]  57.70   58.7000  59.9375
##  [167,]  61.30   58.6250  58.7000
##  [168,]  58.25   58.9750  58.6250
##  [169,]  60.80   59.5125  58.9750
##  [170,]  60.45   60.2000  59.5125
##  [171,]  62.45   60.4875  60.2000
##  [172,]  63.75   61.8625  60.4875
##  [173,]  67.00   63.4125  61.8625
##  [174,]  67.70   65.2250  63.4125
##  [175,]  64.70   65.7875  65.2250
##  [176,]  65.65   66.2625  65.7875
##  [177,]  58.35   64.1000  66.2625
##  [178,]  59.40   62.0250  64.1000
##  [179,]  60.50   60.9750  62.0250
##  [180,]  56.05   58.5750  60.9750
##  [181,]  58.40   58.5875  58.5750
##  [182,]  60.50   58.8625  58.5875
##  [183,]  60.20   58.7875  58.8625
##  [184,]  62.30   60.3500  58.7875
##  [185,]  60.85   60.9625  60.3500
##  [186,]  65.05   62.1000  60.9625
##  [187,]  63.70   62.9750  62.1000
##  [188,]  60.10   62.4250  62.9750
##  [189,]  60.30   62.2875  62.4250
##  [190,]  61.45   61.3875  62.2875
##  [191,]  64.55   61.6000  61.3875
##  [192,]  68.45   63.6875  61.6000
##  [193,]  63.00   64.3625  63.6875
##  [194,]  63.35   64.8375  64.3625
##  [195,]  65.10   64.9750  64.8375
##  [196,]  61.20   63.1625  64.9750
##  [197,]  60.50   62.5375  63.1625
##  [198,]  63.10   62.4750  62.5375
##  [199,]  58.65   60.8625  62.4750
##  [200,]  60.35   60.6500  60.8625
##  [201,]  59.50   60.4000  60.6500
##  [202,]  56.65   58.7875  60.4000
##  [203,]  57.75   58.5625  58.7875
##  [204,]  61.90   58.9500  58.5625
##  [205,]  63.00   59.8250  58.9500
##  [206,]  64.30   61.7375  59.8250
##  [207,]  63.25   63.1125  61.7375
##  [208,]  64.95   63.8750  63.1125
##  [209,]  68.80   65.3250  63.8750
##  [210,]  71.15   67.0375  65.3250
##  [211,]  74.45   69.8375  67.0375
##  [212,]  75.50   72.4750  69.8375
##  [213,]  71.80   73.2250  72.4750
##  [214,]  74.00   73.9375  73.2250
##  [215,]  70.30   72.9000  73.9375
##  [216,]  75.05   72.7875  72.9000
##  [217,]  73.05   73.1000  72.7875
##  [218,]  74.65   73.2625  73.1000
##  [219,]  75.55   74.5750  73.2625
##  [220,]  71.95   73.8000  74.5750
##  [221,]  73.40   73.8875  73.8000
##  [222,]  72.55   73.3625  73.8875
##  [223,]  70.05   71.9875  73.3625
##  [224,]  67.95   70.9875  71.9875
##  [225,]  67.15   69.4250  70.9875
##  [226,]  68.10   68.3125  69.4250
##  [227,]  70.40   68.4000  68.3125
##  [228,]  72.35   69.5000  68.4000
##  [229,]  85.55   74.1000  69.5000
##  [230,]  83.00   77.8250  74.1000
##  [231,]  83.25   81.0375  77.8250
##  [232,]  75.70   81.8750  81.0375
##  [233,]  71.60   78.3875  81.8750
##  [234,]  70.05   75.1500  78.3875
##  [235,]  68.85   71.5500  75.1500
##  [236,]  69.75   70.0625  71.5500
##  [237,]  69.85   69.6250  70.0625
##  [238,]  66.45   68.7250  69.6250
##  [239,]  67.05   68.2750  68.7250
##  [240,]  65.60   67.2375  68.2750
##  [241,]  66.55   66.4125  67.2375
##  [242,]  70.00   67.3000  66.4125
##  [243,]  68.30   67.6125  67.3000
##  [244,]  70.40   68.8125  67.6125
##  [245,]  75.35   71.0125  68.8125
##  [246,]  83.00   74.2625  71.0125
##  [247,]  80.15   77.2250  74.2625
##  [248,]  77.20   78.9250  77.2250
##  [249,]  74.65   78.7500  78.9250
##  [250,]  75.10   76.7750  78.7500
##  [251,]  74.40   75.3375  76.7750
##  [252,]  78.30   75.6125  75.3375
##  [253,]  80.50   77.0750  75.6125
##  [254,]  87.25   80.1125  77.0750
##  [255,]  88.90   83.7375  80.1125
##  [256,]  94.90   87.8875  83.7375
##  [257,]  94.80   91.4625  87.8875
##  [258,] 102.30   95.2250  91.4625
##  [259,] 105.10   99.2750  95.2250
##  [260,] 103.75  101.4875  99.2750
##  [261,]  96.25  101.8500 101.4875
##  [262,] 100.10  101.3000 101.8500
##  [263,] 103.25  100.8375 101.3000
##  [264,] 105.30  101.2250 100.8375
##  [265,] 110.50  104.7875 101.2250
##  [266,] 113.45  108.1250 104.7875
##  [267,] 118.05  111.8250 108.1250
##  [268,] 115.25  114.3125 111.8250
##  [269,] 121.85  117.1500 114.3125
##  [270,] 134.45  122.4000 117.1500
##  [271,] 131.60  125.7875 122.4000
##  [272,] 120.90  127.2000 125.7875
##  [273,] 123.95  127.7250 127.2000
##  [274,] 116.85  123.3250 127.7250
##  [275,] 112.55  118.5625 123.3250
##  [276,] 124.80  119.5375 118.5625
##  [277,] 125.15  119.8375 119.5375
##  [278,] 121.90  121.1000 119.8375
##  [279,] 119.00  122.7125 121.1000
##  [280,] 117.00  120.7625 122.7125
##  [281,] 121.90  119.9500 120.7625
##  [282,] 125.55  120.8625 119.9500
##  [283,] 113.00  119.3625 120.8625
##  [284,] 107.60  117.0125 119.3625
##  [285,] 105.45  112.9000 117.0125
##  [286,] 102.10  107.0375 112.9000
##  [287,] 104.15  104.8250 107.0375
##  [288,] 103.25  103.7375 104.8250
##  [289,]  99.45  102.2375 103.7375
##  [290,] 103.15  102.5000 102.2375
##  [291,] 105.35  102.8000 102.5000
##  [292,] 104.90  103.2125 102.8000
##  [293,]  96.10  102.3750 103.2125
##  [294,]  91.65   99.5000 102.3750
##  [295,] 100.00   98.1625  99.5000
##  [296,]  92.20   94.9875  98.1625
##  [297,]  88.20   93.0125  94.9875
##  [298,]  89.00   92.3500  93.0125
##  [299,]  93.45   90.7125  92.3500
##  [300,]  94.85   91.3750  90.7125
##  [301,]  99.65   94.2375  91.3750
##  [302,] 103.45   97.8500  94.2375
##  [303,]  98.35   99.0750  97.8500
##  [304,] 103.90  101.3375  99.0750
##  [305,] 106.95  103.1625 101.3375
##  [306,]  96.80  101.5000 103.1625
##  [307,]  97.40  101.2625 101.5000
##  [308,]  90.75   97.9750 101.2625
##  [309,]  92.75   94.4250  97.9750
##  [310,]  94.35   93.8125  94.4250
##  [311,] 102.60   95.1125  93.8125
##  [312,] 107.10   99.2000  95.1125
##  [313,] 119.55  105.9000  99.2000
##  [314,] 119.95  112.3000 105.9000
##  [315,] 118.40  116.2500 112.3000
##  [316,] 124.30  120.5500 116.2500
##  [317,] 117.60  120.0625 120.5500
##  [318,] 115.10  118.8500 120.0625
##  [319,] 109.45  116.6125 118.8500
##  [320,] 110.95  113.2750 116.6125
##  [321,] 112.10  111.9000 113.2750
##  [322,] 105.70  109.5500 111.9000
##  [323,] 103.65  108.1000 109.5500
##  [324,] 105.30  106.6875 108.1000
##  [325,] 107.00  105.4125 106.6875
##  [326,] 108.35  106.0750 105.4125
##  [327,] 105.25  106.4750 106.0750
##  [328,] 112.00  108.1500 106.4750
##  [329,] 107.20  108.2000 108.1500
##  [330,] 106.50  107.7375 108.2000
##  [331,] 101.80  106.8750 107.7375
##  [332,] 100.65  104.0375 106.8750
##  [333,]  98.10  101.7625 104.0375
##  [334,] 101.25  100.4500 101.7625
##  [335,]  95.90   98.9750 100.4500
##  [336,]  95.25   97.6250  98.9750
##  [337,]  95.30   96.9250  97.6250
##  [338,]  99.50   96.4875  96.9250
##  [339,]  98.40   97.1125  96.4875
##  [340,]  97.00   97.5500  97.1125
##  [341,]  95.60   97.6250  97.5500
##  [342,]  99.40   97.6000  97.6250
##  [343,] 105.45   99.3625  97.6000
##  [344,] 104.30  101.1875  99.3625
##  [345,] 103.25  103.1000 101.1875
##  [346,] 106.20  104.8000 103.1000
##  [347,] 103.40  104.2875 104.8000
##  [348,] 102.45  103.8250 104.2875
##  [349,]  98.65  102.6750 103.8250
##  [350,] 104.45  102.2375 102.6750
##  [351,] 107.65  103.3000 102.2375
##  [352,] 103.90  103.6625 103.3000
##  [353,] 104.05  105.0125 103.6625
##  [354,] 102.05  104.4125 105.0125
##  [355,] 108.00  104.5000 104.4125
##  [356,] 112.45  106.6375 104.5000
##  [357,] 115.85  109.5875 106.6375
##  [358,] 113.10  112.3500 109.5875
##  [359,] 115.55  114.2375 112.3500
##  [360,] 123.20  116.9250 114.2375
##  [361,] 121.85  118.4250 116.9250
##  [362,] 121.55  120.5375 118.4250
##  [363,] 125.40  123.0000 120.5375
##  [364,] 126.20  123.7500 123.0000
##  [365,] 120.45  123.4000 123.7500
##  [366,] 120.30  123.0875 123.4000
##  [367,] 119.70  121.6625 123.0875
##  [368,] 116.30  119.1875 121.6625
##  [369,] 118.35  118.6625 119.1875
##  [370,] 114.75  117.2750 118.6625
##  [371,] 113.20  115.6500 117.2750
##  [372,] 119.25  116.3875 115.6500
##  [373,] 114.35  115.3875 116.3875
##  [374,] 111.50  114.5750 115.3875
##  [375,] 109.45  113.6375 114.5750
##  [376,] 113.35  112.1625 113.6375
##  [377,] 109.25  110.8875 112.1625
##  [378,] 110.85  110.7250 110.8875
##  [379,] 112.85  111.5750 110.7250
##  [380,] 107.70  110.1625 111.5750
##  [381,] 103.75  108.7875 110.1625
##  [382,] 103.00  106.8250 108.7875
##  [383,] 102.80  104.3125 106.8250
##  [384,] 109.50  104.7625 104.3125
##  [385,] 112.90  107.0500 104.7625
##  [386,] 117.40  110.6500 107.0500
##  [387,] 114.85  113.6625 110.6500
##  [388,] 114.70  114.9625 113.6625
##  [389,] 113.60  115.1375 114.9625
##  [390,] 111.00  113.5375 115.1375
##  [391,] 107.25  111.6375 113.5375
##  [392,] 107.75  109.9000 111.6375
##  [393,] 114.00  110.0000 109.9000
##  [394,] 112.70  110.4250 110.0000
##  [395,] 117.65  113.0250 110.4250
##  [396,] 120.60  116.2375 113.0250
##  [397,] 115.55  116.6250 116.2375
##  [398,] 114.65  117.1125 116.6250
##  [399,] 112.65  115.8625 117.1125
##  [400,] 113.75  114.1500 115.8625
##  [401,] 118.05  114.7750 114.1500
##  [402,] 129.90  118.5875 114.7750
##  [403,] 128.65  122.5875 118.5875
##  [404,] 137.00  128.4000 122.5875
##  [405,] 139.30  133.7125 128.4000
##  [406,] 125.00  132.4875 133.7125
##  [407,] 121.45  130.6875 132.4875
##  [408,] 118.90  126.1625 130.6875
##  [409,] 121.75  121.7750 126.1625
##  [410,] 124.90  121.7500 121.7750
##  [411,] 123.45  122.2500 121.7500
##  [412,] 125.95  124.0125 122.2500
##  [413,] 127.75  125.5125 124.0125
##  [414,] 130.75  126.9750 125.5125
##  [415,] 134.20  129.6625 126.9750
##  [416,] 133.10  131.4500 129.6625
##  [417,] 132.70  132.6875 131.4500
##  [418,] 136.30  134.0750 132.6875
##  [419,] 133.10  133.8000 134.0750
##  [420,] 131.45  133.3875 133.8000
##  [421,] 139.10  134.9875 133.3875
##  [422,] 147.20  137.7125 134.9875
##  [423,] 149.85  141.9000 137.7125
##  [424,] 160.15  149.0750 141.9000
##  [425,] 164.60  155.4500 149.0750
##  [426,] 148.75  155.8375 155.4500
##  [427,] 150.05  155.8875 155.8375
##  [428,] 130.90  148.5750 155.8875
##  [429,] 130.40  140.0250 148.5750
##  [430,] 131.90  135.8125 140.0250
##  [431,] 130.85  131.0125 135.8125
##  [432,] 135.25  132.1000 131.0125
##  [433,] 130.45  132.1125 132.1000
##  [434,] 128.55  131.2750 132.1125
##  [435,] 136.00  132.5625 131.2750
##  [436,] 138.00  133.2500 132.5625
##  [437,] 134.00  134.1375 133.2500
##  [438,] 133.90  135.4750 134.1375
##  [439,] 135.85  135.4375 135.4750
##  [440,] 134.40  134.5375 135.4375
##  [441,] 143.95  137.0250 134.5375
##  [442,] 150.15  141.0875 137.0250
##  [443,] 149.55  144.5125 141.0875
##  [444,] 140.05  145.9250 144.5125
##  [445,] 135.65  143.8500 145.9250
##  [446,] 137.30  140.6375 143.8500
##  [447,] 140.15  138.2875 140.6375
##  [448,] 135.80  137.2250 138.2875
##  [449,] 132.85  136.5250 137.2250
##  [450,] 140.25  137.2625 136.5250
##  [451,] 141.90  137.7000 137.2625
##  [452,] 138.85  138.4625 137.7000
##  [453,] 135.10  139.0250 138.4625
##  [454,] 133.10  137.2375 139.0250
##  [455,] 134.15  135.3000 137.2375
##  [456,] 122.05  131.1000 135.3000
##  [457,] 115.35  126.1625 131.1000
##  [458,] 115.60  121.7875 126.1625
##  [459,] 108.65  115.4125 121.7875
##  [460,] 113.00  113.1500 115.4125
##  [461,] 112.10  112.3375 113.1500
##  [462,] 110.95  111.1750 112.3375
##  [463,] 108.95  111.2500 111.1750
##  [464,] 114.10  111.5250 111.2500
##  [465,] 101.60  108.9000 111.5250
##  [466,] 109.85  108.6250 108.9000
##  [467,] 110.95  109.1250 108.6250
##  [468,] 108.40  107.7000 109.1250
##  [469,] 110.90  110.0250 107.7000
##  [470,] 116.90  111.7875 110.0250
##  [471,] 115.80  113.0000 111.7875
##  [472,] 119.65  115.8125 113.0000
##  [473,] 118.90  117.8125 115.8125
##  [474,] 119.55  118.4750 117.8125
##  [475,] 112.35  117.6125 118.4750
##  [476,] 108.90  114.9250 117.6125
##  [477,] 109.45  112.5625 114.9250
##  [478,] 105.30  109.0000 112.5625
##  [479,] 108.30  107.9875 109.0000
##  [480,] 116.20  109.8125 107.9875
##  [481,] 115.85  111.4125 109.8125
##  [482,] 118.40  114.6875 111.4125
##  [483,] 119.30  117.4375 114.6875
##  [484,] 111.85  116.3500 117.4375
##  [485,] 119.00  117.1375 116.3500
##  [486,] 119.85  117.5000 117.1375
##  [487,] 125.70  119.1000 117.5000
##  [488,] 127.55  123.0250 119.1000
##  [489,] 135.00  127.0250 123.0250
##  [490,] 137.40  131.4125 127.0250
##  [491,] 133.85  133.4500 131.4125
##  [492,] 129.55  133.9500 133.4500
##  [493,] 116.70  129.3750 133.9500
##  [494,] 116.75  124.2125 129.3750
##  [495,] 115.05  119.5125 124.2125
##  [496,] 112.30  115.2000 119.5125
##  [497,] 116.25  115.0875 115.2000
##  [498,] 123.95  116.8875 115.0875
##  [499,] 127.85  120.0875 116.8875
##  [500,] 137.90  126.4875 120.0875
##  [501,] 128.95  129.6625 126.4875
##  [502,] 123.70  129.6000 129.6625
##  [503,] 121.10  127.9125 129.6000
##  [504,] 122.85  124.1500 127.9125
##  [505,] 125.30  123.2375 124.1500
##  [506,] 134.80  126.0125 123.2375
##  [507,] 127.70  127.6625 126.0125
##  [508,] 129.70  129.3750 127.6625
##  [509,] 135.65  131.9625 129.3750
##  [510,] 142.88  133.9825 131.9625
##  [511,] 136.20  136.1075 133.9825
##  [512,] 135.38  137.5275 136.1075
##  [513,] 138.23  138.1725 137.5275
##  [514,] 131.10  135.2275 138.1725
##  [515,] 135.50  135.0525 135.2275
##  [516,] 138.43  135.8150 135.0525
##  [517,] 141.15  136.5450 135.8150
##  [518,] 143.05  139.5325 136.5450
##  [519,] 145.50  142.0325 139.5325
##  [520,] 139.80  142.3750 142.0325
##  [521,] 135.93  141.0700 142.3750
##  [522,] 145.35  141.6450 141.0700
##  [523,] 140.75  140.4575 141.6450
##  [524,] 139.60  140.4075 140.4575
##  [525,] 131.95  139.4125 140.4075
##  [526,] 128.80  135.2750 139.4125
##  [527,] 132.75  133.2750 135.2750
##  [528,] 134.75  132.0625 133.2750
##  [529,] 129.05  131.3375 132.0625
##  [530,] 128.00  131.1375 131.3375
##  [531,] 130.15  130.4875 131.1375
##  [532,] 130.30  129.3750 130.4875
##  [533,] 135.85  131.0750 129.3750
##  [534,] 137.40  133.4250 131.0750
##  [535,] 132.70  134.0625 133.4250
##  [536,] 129.10  133.7625 134.0625
##  [537,] 131.80  132.7500 133.7625
##  [538,] 135.20  132.2000 132.7500
##  [539,] 133.00  132.2750 132.2000
##  [540,] 134.25  133.5625 132.2750
##  [541,] 132.40  133.7125 133.5625
##  [542,] 134.25  133.4750 133.7125
##  [543,] 133.75  133.6625 133.4750
##  [544,] 144.95  136.3375 133.6625
##  [545,] 160.25  143.3000 136.3375
##  [546,] 167.00  151.4875 143.3000
##  [547,] 164.05  159.0625 151.4875
##  [548,] 163.23  163.6325 159.0625
##  [549,] 166.55  165.2075 163.6325
##  [550,] 165.28  164.7775 165.2075
##  [551,] 175.33  167.5975 164.7775
##  [552,] 167.80  168.7400 167.5975
##  [553,] 176.25  171.1650 168.7400
##  [554,] 186.28  176.4150 171.1650
##  [555,] 179.68  177.5025 176.4150
##  [556,] 186.20  182.1025 177.5025
##  [557,] 189.85  185.5025 182.1025
##  [558,] 187.85  185.8950 185.5025
##  [559,] 180.60  186.1250 185.8950
##  [560,] 181.10  184.8500 186.1250
##  [561,] 182.15  182.9250 184.8500
##  [562,] 186.40  182.5625 182.9250
##  [563,] 198.85  187.1250 182.5625
##  [564,] 203.45  192.7125 187.1250
##  [565,] 205.15  198.4625 192.7125
##  [566,] 200.45  201.9750 198.4625
##  [567,] 209.85  204.7250 201.9750
##  [568,] 202.15  204.4000 204.7250
##  [569,] 204.50  204.2375 204.4000
##  [570,] 208.98  206.3700 204.2375
##  [571,] 225.25  210.2200 206.3700
##  [572,] 236.67  218.8500 210.2200
##  [573,] 240.50  227.8500 218.8500
##  [574,] 230.70  233.2800 227.8500
##  [575,] 234.60  235.6175 233.2800
##  [576,] 240.32  236.5300 235.6175
##  [577,] 245.00  237.6550 236.5300
##  [578,] 249.30  242.3050 237.6550
##  [579,] 251.95  246.6425 242.3050
##  [580,] 271.65  254.4750 246.6425
##  [581,] 267.70  260.1500 254.4750
##  [582,] 272.90  266.0500 260.1500
##  [583,] 273.70  271.4875 266.0500
##  [584,] 276.80  272.7750 271.4875
##  [585,] 268.60  273.0000 272.7750
##  [586,] 259.90  269.7500 273.0000
##  [587,] 274.95  270.0625 269.7500
##  [588,] 288.10  272.8875 270.0625
##  [589,] 294.25  279.3000 272.8875
##  [590,] 299.35  289.1625 279.3000
##  [591,] 287.05  292.1875 289.1625
##  [592,] 269.30  287.4875 292.1875
##  [593,] 259.15  278.7125 287.4875
##  [594,] 263.70  269.8000 278.7125
##  [595,] 270.95  265.7750 269.8000
##  [596,] 264.95  264.6875 265.7750
##  [597,] 249.55  262.2875 264.6875
##  [598,] 249.00  258.6125 262.2875
##  [599,] 263.45  256.7375 258.6125
##  [600,] 263.15  256.2875 256.7375
##  [601,] 252.55  257.0375 256.2875
##  [602,] 241.50  255.1625 257.0375
##  [603,] 239.55  249.1875 255.1625
##  [604,] 238.00  242.9000 249.1875
##  [605,] 240.35  239.8500 242.9000
##  [606,] 266.15  246.0125 239.8500
##  [607,] 278.90  255.8500 246.0125
##  [608,] 289.20  268.6500 255.8500
##  [609,] 271.25  276.3750 268.6500
##  [610,] 263.00  275.5875 276.3750
##  [611,] 231.45  263.7250 275.5875
##  [612,] 228.90  248.6500 263.7250
##  [613,] 224.35  236.9250 248.6500
##  [614,] 239.55  231.0625 236.9250
##  [615,] 244.85  234.4125 231.0625
##  [616,] 235.15  235.9750 234.4125
##  [617,] 230.20  237.4375 235.9750
##  [618,] 233.95  236.0375 237.4375
##  [619,] 234.20  233.3750 236.0375
##  [620,] 229.60  231.9875 233.3750
##  [621,] 227.15  231.2250 231.9875
##  [622,] 227.05  229.5000 231.2250
##  [623,] 210.95  223.6875 229.5000
##  [624,] 217.88  220.7575 223.6875
##  [625,] 226.85  220.6825 220.7575
##  [626,] 221.75  219.3575 220.6825
##  [627,] 225.25  222.9325 219.3575
##  [628,] 225.40  224.8125 222.9325
##  [629,] 217.35  222.4375 224.8125
##  [630,] 215.95  220.9875 222.4375
##  [631,] 215.30  218.5000 220.9875
##  [632,] 200.05  212.1625 218.5000
##  [633,] 203.25  208.6375 212.1625
##  [634,] 201.65  205.0625 208.6375
##  [635,] 185.60  197.6375 205.0625
##  [636,] 181.35  192.9625 197.6375
##  [637,] 178.75  186.8375 192.9625
##  [638,] 182.45  182.0375 186.8375
##  [639,] 183.00  181.3875 182.0375
##  [640,] 179.20  180.8500 181.3875
##  [641,] 177.70  180.5875 180.8500
##  [642,] 175.00  178.7250 180.5875
##  [643,] 173.50  176.3500 178.7250
##  [644,] 176.55  175.6875 176.3500
##  [645,] 177.70  175.6875 175.6875
##  [646,] 167.80  173.8875 175.6875
##  [647,] 157.50  169.8875 173.8875
##  [648,] 155.60  164.6500 169.8875
##  [649,] 150.05  157.7375 164.6500
##  [650,] 155.15  154.5750 157.7375
##  [651,] 170.85  157.9125 154.5750
##  [652,] 175.90  162.9875 157.9125
##  [653,] 184.45  171.5875 162.9875
##  [654,] 186.95  179.5375 171.5875
##  [655,] 173.70  180.2500 179.5375
##  [656,] 173.80  179.7250 180.2500
##  [657,] 166.25  175.1750 179.7250
##  [658,] 160.30  168.5125 175.1750
##  [659,] 163.15  165.8750 168.5125
##  [660,] 164.55  163.5625 165.8750
##  [661,] 162.70  162.6750 163.5625
##  [662,] 180.80  167.8000 162.6750
##  [663,] 173.30  170.3375 167.8000
##  [664,] 173.50  172.5750 170.3375
##  [665,] 167.77  173.8425 172.5750
##  [666,] 162.35  169.2300 173.8425
##  [667,] 161.65  166.3175 169.2300
##  [668,] 157.75  162.3800 166.3175
##  [669,] 154.70  159.1125 162.3800
##  [670,] 149.90  156.0000 159.1125
##  [671,] 147.30  152.4125 156.0000
##  [672,] 142.15  148.5125 152.4125
##  [673,] 149.88  147.3075 148.5125
##  [674,] 142.10  145.3575 147.3075
##  [675,] 137.40  142.8825 145.3575
##  [676,] 146.60  143.9950 142.8825
##  [677,] 146.85  143.2375 143.9950
##  [678,] 147.35  144.5500 143.2375
##  [679,] 153.35  148.5375 144.5500
##  [680,] 155.68  150.8075 148.5375
##  [681,] 148.30  151.1700 150.8075
##  [682,] 147.95  151.3200 151.1700
##  [683,] 141.05  148.2450 151.3200
##  [684,] 136.95  143.5625 148.2450
##  [685,] 143.10  142.2625 143.5625
##  [686,] 142.90  141.0000 142.2625
##  [687,] 143.35  141.5750 141.0000
##  [688,] 136.50  141.4625 141.5750
##  [689,] 135.30  139.5125 141.4625
##  [690,] 137.15  138.0750 139.5125
##  [691,] 140.15  137.2750 138.0750
##  [692,] 135.25  136.9625 137.2750
##  [693,] 141.65  138.5500 136.9625
##  [694,] 133.90  137.7375 138.5500
##  [695,] 140.30  137.7750 137.7375
##  [696,] 143.80  139.9125 137.7750
##  [697,] 135.60  138.4000 139.9125
##  [698,] 127.25  136.7375 138.4000
##  [699,] 127.05  133.4250 136.7375
##  [700,] 126.95  129.2125 133.4250
##  [701,] 122.25  125.8750 129.2125
##  [702,] 118.70  123.7375 125.8750
##  [703,] 120.00  121.9750 123.7375
##  [704,] 120.95  120.4750 121.9750
##  [705,] 119.15  119.7000 120.4750
##  [706,] 122.60  120.6750 119.7000
##  [707,] 122.25  121.2375 120.6750
##  [708,] 118.25  120.5625 121.2375
##  [709,] 122.90  121.5000 120.5625
##  [710,] 120.50  120.9750 121.5000
##  [711,] 113.05  118.6750 120.9750
##  [712,] 112.10  117.1375 118.6750
##  [713,] 113.95  114.9000 117.1375
##  [714,] 115.55  113.6625 114.9000
##  [715,] 114.65  114.0625 113.6625
##  [716,] 113.70  114.4625 114.0625
##  [717,] 114.40  114.5750 114.4625
##  [718,] 116.70  114.8625 114.5750
##  [719,] 114.65  114.8625 114.8625
##  [720,] 109.10  113.7125 114.8625
##  [721,] 105.55  111.5000 113.7125
##  [722,] 104.05  108.3375 111.5000
##  [723,] 105.75  106.1125 108.3375
##  [724,] 107.28  105.6575 106.1125
##  [725,] 110.25  106.8325 105.6575
##  [726,] 105.80  107.2700 106.8325
##  [727,] 114.50  109.4575 107.2700
##  [728,] 115.30  111.4625 109.4575
##  [729,] 116.35  112.9875 111.4625
##  [730,] 116.35  115.6250 112.9875
##  [731,] 120.65  117.1625 115.6250
##  [732,] 117.15  117.6250 117.1625
##  [733,] 114.40  117.1375 117.6250
##  [734,] 125.20  119.3500 117.1375
##  [735,] 135.70  123.1125 119.3500
##  [736,] 139.90  128.8000 123.1125
##  [737,] 168.55  142.3375 128.8000
##  [738,] 179.80  155.9875 142.3375
##  [739,] 196.05  171.0750 155.9875
##  [740,] 197.85  185.5625 171.0750
##  [741,] 171.15  186.2125 185.5625
##  [742,] 180.60  186.4125 186.2125
##  [743,] 185.00  183.6500 186.4125
##  [744,] 201.20  184.4875 183.6500
##  [745,] 201.20  192.0000 184.4875
##  [746,] 204.75  198.0375 192.0000
##  [747,] 200.60  201.9375 198.0375
##  [748,] 184.85  197.8500 201.9375
##  [749,] 182.50  193.1750 197.8500
##  [750,] 181.90  187.4625 193.1750
##  [751,] 177.50  181.6875 187.4625
##  [752,] 172.10  178.5000 181.6875
##  [753,] 173.70  176.3000 178.5000
##  [754,] 173.25  174.1375 176.3000
##  [755,] 170.45  172.3750 174.1375
##  [756,] 172.02  172.3550 172.3750
##  [757,] 158.95  168.6675 172.3550
##  [758,] 170.70  168.0300 168.6675
##  [759,] 179.15  170.2050 168.0300
##  [760,] 192.13  175.2325 170.2050
##  [761,] 180.85  180.7075 175.2325
##  [762,] 188.75  185.2200 180.7075
##  [763,] 181.60  185.8325 185.2200
##  [764,] 195.75  186.7375 185.8325
##  [765,] 192.85  189.7375 186.7375
##  [766,] 179.65  187.4625 189.7375
##  [767,] 178.00  186.5625 187.4625
##  [768,] 186.05  184.1375 186.5625
##  [769,] 206.50  187.5500 184.1375
##  [770,] 220.40  197.7375 187.5500
##  [771,] 210.65  205.9000 197.7375
##  [772,] 191.50  207.2625 205.9000
##  [773,] 188.00  202.6375 207.2625
##  [774,] 182.40  193.1375 202.6375
##  [775,] 192.00  188.4750 193.1375
##  [776,] 189.65  188.0125 188.4750
##  [777,] 187.48  187.8825 188.0125
##  [778,] 181.10  187.5575 187.8825
##  [779,] 174.13  183.0900 187.5575
##  [780,] 174.88  179.3975 183.0900
##  [781,] 169.07  174.7950 179.3975
##  [782,] 161.05  169.7825 174.7950
##  [783,] 180.05  171.2625 169.7825
##  [784,] 171.00  170.2925 171.2625
##  [785,] 162.45  168.6375 170.2925
##  [786,] 161.90  168.8500 168.6375
##  [787,] 166.85  165.5500 168.8500
##  [788,] 163.20  163.6000 165.5500
##  [789,] 148.65  160.1500 163.6000
##  [790,] 136.75  153.8625 160.1500
##  [791,] 136.50  146.2750 153.8625
##  [792,] 126.45  137.0875 146.2750
##  [793,] 143.35  135.7625 137.0875
##  [794,] 138.20  136.1250 135.7625
##  [795,] 140.90  137.2250 136.1250
##  [796,] 135.10  139.3875 137.2250
##  [797,] 138.70  138.2250 139.3875
##  [798,] 141.15  138.9625 138.2250
##  [799,] 133.45  137.1000 138.9625
##  [800,] 132.90  136.5500 137.1000
##  [801,] 137.20  136.1750 136.5500
##  [802,] 126.95  132.6250 136.1750
##  [803,] 126.15  130.8000 132.6250
##  [804,] 135.10  131.3500 130.8000
##  [805,] 132.05  130.0625 131.3500
##  [806,] 127.15  130.1125 130.0625
##  [807,] 131.70  131.5000 130.1125
##  [808,] 125.60  129.1250 131.5000
##  [809,] 122.95  126.8500 129.1250
##  [810,] 127.00  126.8125 126.8500
##  [811,] 122.25  124.4500 126.8125
##  [812,] 125.25  124.3625 124.4500
##  [813,] 127.80  125.5750 124.3625
##  [814,] 137.50  128.2000 125.5750
##  [815,] 121.90  128.1125 128.2000
##  [816,] 120.45  126.9125 128.1125
##  [817,] 115.85  123.9250 126.9125
##  [818,] 113.35  117.8875 123.9250
##  [819,] 113.35  115.7500 117.8875
##  [820,] 122.70  116.3125 115.7500
##  [821,] 124.30  118.4250 116.3125
##  [822,] 131.60  122.9875 118.4250
##  [823,] 125.85  126.1125 122.9875
##  [824,] 118.45  125.0500 126.1125
##  [825,] 120.95  124.2125 125.0500
##  [826,] 117.75  120.7500 124.2125
##  [827,] 112.15  117.3250 120.7500
##  [828,] 121.90  118.1875 117.3250
##  [829,] 121.00  118.2000 118.1875
##  [830,] 124.00  119.7625 118.2000
##  [831,] 118.10  121.2500 119.7625
##  [832,] 118.45  120.3875 121.2500
##  [833,] 119.70  120.0625 120.3875
##  [834,] 126.70  120.7375 120.0625
##  [835,] 119.00  120.9625 120.7375
##  [836,] 114.90  120.0750 120.9625
##  [837,] 116.00  119.1500 120.0750
##  [838,] 116.35  116.5625 119.1500
##  [839,] 120.40  116.9125 116.5625
##  [840,] 115.55  117.0750 116.9125
##  [841,] 115.75  117.0125 117.0750
##  [842,] 113.00  116.1750 117.0125
##  [843,] 118.80  115.7750 116.1750
##  [844,] 124.40  117.9875 115.7750
##  [845,] 133.85  122.5125 117.9875
##  [846,] 127.55  126.1500 122.5125
##  [847,] 127.25  128.2625 126.1500
##  [848,] 120.45  127.2750 128.2625
##  [849,] 122.95  124.5500 127.2750
##  [850,] 122.75  123.3500 124.5500
##  [851,] 120.85  121.7500 123.3500
##  [852,] 123.45  122.5000 121.7500
##  [853,] 128.80  123.9625 122.5000
##  [854,] 124.70  124.4500 123.9625
##  [855,] 121.30  124.5625 124.4500
##  [856,] 127.10  125.4750 124.5625
##  [857,] 136.95  127.5125 125.4750
##  [858,] 140.75  131.5250 127.5125
##  [859,] 134.35  134.7875 131.5250
##  [860,] 144.85  139.2250 134.7875
##  [861,] 142.75  140.6750 139.2250
##  [862,] 145.70  141.9125 140.6750
##  [863,] 141.90  143.8000 141.9125
##  [864,] 146.20  144.1375 143.8000
##  [865,] 142.50  144.0750 144.1375
##  [866,] 136.85  141.8625 144.0750
##  [867,] 138.80  141.0875 141.8625
##  [868,] 143.90  140.5125 141.0875
##  [869,] 150.10  142.4125 140.5125
##  [870,] 149.95  145.6875 142.4125
##  [871,] 147.10  147.7625 145.6875
##  [872,] 151.40  149.6375 147.7625
##  [873,] 151.55  150.0000 149.6375
##  [874,] 148.00  149.5125 150.0000
##  [875,] 155.40  151.5875 149.5125
##  [876,] 156.10  152.7625 151.5875
##  [877,] 165.50  156.2500 152.7625
##  [878,] 171.35  162.0875 156.2500
##  [879,] 159.45  163.1000 162.0875
##  [880,] 157.85  163.5375 163.1000
##  [881,] 152.30  160.2375 163.5375
##  [882,] 141.20  152.7000 160.2375
##  [883,] 135.55  146.7250 152.7000
##  [884,] 138.20  141.8125 146.7250
##  [885,] 136.15  137.7750 141.8125
##  [886,] 137.05  136.7375 137.7750
##  [887,] 142.85  138.5625 136.7375
##  [888,] 149.30  141.3375 138.5625
##  [889,] 153.20  145.6000 141.3375
##  [890,] 152.40  149.4375 145.6000
##  [891,] 146.25  150.2875 149.4375
##  [892,] 145.75  149.4000 150.2875
##  [893,] 147.80  148.0500 149.4000
##  [894,] 144.40  146.0500 148.0500
##  [895,] 141.25  144.8000 146.0500
##  [896,] 139.65  143.2750 144.8000
##  [897,] 140.80  141.5250 143.2750
##  [898,] 137.60  139.8250 141.5250
##  [899,] 139.30  139.3375 139.8250
##  [900,] 140.05  139.4375 139.3375
##  [901,] 138.90  138.9625 139.4375
##  [902,] 129.85  137.0250 138.9625
##  [903,] 131.05  134.9625 137.0250
##  [904,] 133.10  133.2250 134.9625
##  [905,] 132.60  131.6500 133.2250
##  [906,] 132.10  132.2125 131.6500
##  [907,] 131.20  132.2500 132.2125
##  [908,] 125.55  130.3625 132.2500
##  [909,] 126.55  128.8500 130.3625
##  [910,] 123.55  126.7125 128.8500
##  [911,] 119.95  123.9000 126.7125
##  [912,] 124.05  123.5250 123.9000
##  [913,] 126.55  123.5250 123.5250
##  [914,] 131.70  125.5625 123.5250
##  [915,] 136.55  129.7125 125.5625
##  [916,] 137.85  133.1625 129.7125
##  [917,] 140.15  136.5625 133.1625
##  [918,] 140.30  138.7125 136.5625
##  [919,] 128.05  136.5875 138.7125
##  [920,] 130.20  134.6750 136.5875
##  [921,] 127.75  131.5750 134.6750
##  [922,] 129.40  128.8500 131.5750
##  [923,] 140.00  131.8375 128.8500
##  [924,] 134.45  132.9000 131.8375
##  [925,] 128.05  132.9750 132.9000
##  [926,] 130.00  133.1250 132.9750
##  [927,] 126.45  129.7375 133.1250
##  [928,] 125.25  127.4375 129.7375
##  [929,] 126.60  127.0750 127.4375
##  [930,] 123.95  125.5625 127.0750
##  [931,] 127.55  125.8375 125.5625
##  [932,] 123.80  125.4750 125.8375
##  [933,] 124.80  125.0250 125.4750
##  [934,] 127.55  125.9250 125.0250
##  [935,] 120.60  124.1875 125.9250
##  [936,] 116.95  122.4750 124.1875
##  [937,] 120.40  121.3750 122.4750
##  [938,] 126.20  121.0375 121.3750
##  [939,] 128.45  123.0000 121.0375
##  [940,] 122.25  124.3250 123.0000
##  [941,] 121.25  124.5375 124.3250
##  [942,] 125.15  124.2750 124.5375
##  [943,] 120.40  122.2625 124.2750
##  [944,] 121.85  122.1625 122.2625
##  [945,] 117.95  121.3375 122.1625
##  [946,] 119.45  119.9125 121.3375
##  [947,]     NA        NA 119.9125
##  [948,]     NA        NA 119.9125
##  [949,]     NA        NA 119.9125
##  [950,]     NA        NA 119.9125
##  [951,]     NA        NA 119.9125
##  [952,]     NA        NA 119.9125
##  [953,]     NA        NA 119.9125
##  [954,]     NA        NA 119.9125
##  [955,]     NA        NA 119.9125
##  [956,]     NA        NA 119.9125
##  [957,]     NA        NA 119.9125
##  [958,]     NA        NA 119.9125
##  [959,]     NA        NA 119.9125
##  [960,]     NA        NA 119.9125
##  [961,]     NA        NA 119.9125
##  [962,]     NA        NA 119.9125
##  [963,]     NA        NA 119.9125
##  [964,]     NA        NA 119.9125
##  [965,]     NA        NA 119.9125
##  [966,]     NA        NA 119.9125
##  [967,]     NA        NA 119.9125
##  [968,]     NA        NA 119.9125
##  [969,]     NA        NA 119.9125
##  [970,]     NA        NA 119.9125
##  [971,]     NA        NA 119.9125
##  [972,]     NA        NA 119.9125
##  [973,]     NA        NA 119.9125
##  [974,]     NA        NA 119.9125
##  [975,]     NA        NA 119.9125
##  [976,]     NA        NA 119.9125
##  [977,]     NA        NA 119.9125
##  [978,]     NA        NA 119.9125
##  [979,]     NA        NA 119.9125
##  [980,]     NA        NA 119.9125
##  [981,]     NA        NA 119.9125
##  [982,]     NA        NA 119.9125
##  [983,]     NA        NA 119.9125
##  [984,]     NA        NA 119.9125
##  [985,]     NA        NA 119.9125
##  [986,]     NA        NA 119.9125
##  [987,]     NA        NA 119.9125
##  [988,]     NA        NA 119.9125
##  [989,]     NA        NA 119.9125
##  [990,]     NA        NA 119.9125
##  [991,]     NA        NA 119.9125
##  [992,]     NA        NA 119.9125
##  [993,]     NA        NA 119.9125
##  [994,]     NA        NA 119.9125
##  [995,]     NA        NA 119.9125
##  [996,]     NA        NA 119.9125
##  [997,]     NA        NA 119.9125
##  [998,]     NA        NA 119.9125
##  [999,]     NA        NA 119.9125
## [1000,]     NA        NA 119.9125
## [1001,]     NA        NA 119.9125
## [1002,]     NA        NA 119.9125
## [1003,]     NA        NA 119.9125
## [1004,]     NA        NA 119.9125
## [1005,]     NA        NA 119.9125
## [1006,]     NA        NA 119.9125
## [1007,]     NA        NA 119.9125
## [1008,]     NA        NA 119.9125
## [1009,]     NA        NA 119.9125
## [1010,]     NA        NA 119.9125
## [1011,]     NA        NA 119.9125
## [1012,]     NA        NA 119.9125
## [1013,]     NA        NA 119.9125
## [1014,]     NA        NA 119.9125
## [1015,]     NA        NA 119.9125
## [1016,]     NA        NA 119.9125
## [1017,]     NA        NA 119.9125
## [1018,]     NA        NA 119.9125
## [1019,]     NA        NA 119.9125
## [1020,]     NA        NA 119.9125
## [1021,]     NA        NA 119.9125
## [1022,]     NA        NA 119.9125
## [1023,]     NA        NA 119.9125
## [1024,]     NA        NA 119.9125
## [1025,]     NA        NA 119.9125
## [1026,]     NA        NA 119.9125
## [1027,]     NA        NA 119.9125
## [1028,]     NA        NA 119.9125
## [1029,]     NA        NA 119.9125
## [1030,]     NA        NA 119.9125
## [1031,]     NA        NA 119.9125
## [1032,]     NA        NA 119.9125
## [1033,]     NA        NA 119.9125
## [1034,]     NA        NA 119.9125
## [1035,]     NA        NA 119.9125
## [1036,]     NA        NA 119.9125
## [1037,]     NA        NA 119.9125
## [1038,]     NA        NA 119.9125
## [1039,]     NA        NA 119.9125
## [1040,]     NA        NA 119.9125
## [1041,]     NA        NA 119.9125
## [1042,]     NA        NA 119.9125
## [1043,]     NA        NA 119.9125
## [1044,]     NA        NA 119.9125
## [1045,]     NA        NA 119.9125
## [1046,]     NA        NA 119.9125
## [1047,]     NA        NA 119.9125
## [1048,]     NA        NA 119.9125
## [1049,]     NA        NA 119.9125
## [1050,]     NA        NA 119.9125
## [1051,]     NA        NA 119.9125
## [1052,]     NA        NA 119.9125
## [1053,]     NA        NA 119.9125
## [1054,]     NA        NA 119.9125
## [1055,]     NA        NA 119.9125
## [1056,]     NA        NA 119.9125
## [1057,]     NA        NA 119.9125
## [1058,]     NA        NA 119.9125
## [1059,]     NA        NA 119.9125
## [1060,]     NA        NA 119.9125
## [1061,]     NA        NA 119.9125
## [1062,]     NA        NA 119.9125
## [1063,]     NA        NA 119.9125
## [1064,]     NA        NA 119.9125
## [1065,]     NA        NA 119.9125
## [1066,]     NA        NA 119.9125
## [1067,]     NA        NA 119.9125
## [1068,]     NA        NA 119.9125
## [1069,]     NA        NA 119.9125
## [1070,]     NA        NA 119.9125
## [1071,]     NA        NA 119.9125
## [1072,]     NA        NA 119.9125
## [1073,]     NA        NA 119.9125
## [1074,]     NA        NA 119.9125
## [1075,]     NA        NA 119.9125
## [1076,]     NA        NA 119.9125
## [1077,]     NA        NA 119.9125
## [1078,]     NA        NA 119.9125
## [1079,]     NA        NA 119.9125
## [1080,]     NA        NA 119.9125
## [1081,]     NA        NA 119.9125
## [1082,]     NA        NA 119.9125
## [1083,]     NA        NA 119.9125
## [1084,]     NA        NA 119.9125
## [1085,]     NA        NA 119.9125
## [1086,]     NA        NA 119.9125
## [1087,]     NA        NA 119.9125
## [1088,]     NA        NA 119.9125
## [1089,]     NA        NA 119.9125
## [1090,]     NA        NA 119.9125
## [1091,]     NA        NA 119.9125
## [1092,]     NA        NA 119.9125
## [1093,]     NA        NA 119.9125
## [1094,]     NA        NA 119.9125
## [1095,]     NA        NA 119.9125
## [1096,]     NA        NA 119.9125
## [1097,]     NA        NA 119.9125
## [1098,]     NA        NA 119.9125
## [1099,]     NA        NA 119.9125
## [1100,]     NA        NA 119.9125
## [1101,]     NA        NA 119.9125
## [1102,]     NA        NA 119.9125
## [1103,]     NA        NA 119.9125
## [1104,]     NA        NA 119.9125
## [1105,]     NA        NA 119.9125
## [1106,]     NA        NA 119.9125
## [1107,]     NA        NA 119.9125
## [1108,]     NA        NA 119.9125
## [1109,]     NA        NA 119.9125
## [1110,]     NA        NA 119.9125
## [1111,]     NA        NA 119.9125
## [1112,]     NA        NA 119.9125
## [1113,]     NA        NA 119.9125
## [1114,]     NA        NA 119.9125
## [1115,]     NA        NA 119.9125
## [1116,]     NA        NA 119.9125
## [1117,]     NA        NA 119.9125
## [1118,]     NA        NA 119.9125
## [1119,]     NA        NA 119.9125
## [1120,]     NA        NA 119.9125
## [1121,]     NA        NA 119.9125
## [1122,]     NA        NA 119.9125
## [1123,]     NA        NA 119.9125
## [1124,]     NA        NA 119.9125
## [1125,]     NA        NA 119.9125
## [1126,]     NA        NA 119.9125
## [1127,]     NA        NA 119.9125
## [1128,]     NA        NA 119.9125
## [1129,]     NA        NA 119.9125
## [1130,]     NA        NA 119.9125
## [1131,]     NA        NA 119.9125
## [1132,]     NA        NA 119.9125
## [1133,]     NA        NA 119.9125
## [1134,]     NA        NA 119.9125
## [1135,]     NA        NA 119.9125
## [1136,]     NA        NA 119.9125
## [1137,]     NA        NA 119.9125
## [1138,]     NA        NA 119.9125
## [1139,]     NA        NA 119.9125
## [1140,]     NA        NA 119.9125
## [1141,]     NA        NA 119.9125
## [1142,]     NA        NA 119.9125
## [1143,]     NA        NA 119.9125
## [1144,]     NA        NA 119.9125
## [1145,]     NA        NA 119.9125
## [1146,]     NA        NA 119.9125
## [1147,]     NA        NA 119.9125
## [1148,]     NA        NA 119.9125
## [1149,]     NA        NA 119.9125
## [1150,]     NA        NA 119.9125
## [1151,]     NA        NA 119.9125
## [1152,]     NA        NA 119.9125
## [1153,]     NA        NA 119.9125
## [1154,]     NA        NA 119.9125
## [1155,]     NA        NA 119.9125
## [1156,]     NA        NA 119.9125
## [1157,]     NA        NA 119.9125
## [1158,]     NA        NA 119.9125
## [1159,]     NA        NA 119.9125
## [1160,]     NA        NA 119.9125
## [1161,]     NA        NA 119.9125
## [1162,]     NA        NA 119.9125
## [1163,]     NA        NA 119.9125
## [1164,]     NA        NA 119.9125
## [1165,]     NA        NA 119.9125
## [1166,]     NA        NA 119.9125
## [1167,]     NA        NA 119.9125
## [1168,]     NA        NA 119.9125
## [1169,]     NA        NA 119.9125
## [1170,]     NA        NA 119.9125
## [1171,]     NA        NA 119.9125
## [1172,]     NA        NA 119.9125
## [1173,]     NA        NA 119.9125
## [1174,]     NA        NA 119.9125
## [1175,]     NA        NA 119.9125
## [1176,]     NA        NA 119.9125
## [1177,]     NA        NA 119.9125
## [1178,]     NA        NA 119.9125
## [1179,]     NA        NA 119.9125
## [1180,]     NA        NA 119.9125
## [1181,]     NA        NA 119.9125
## [1182,]     NA        NA 119.9125

Adapun plot data deret waktu dari hasil peramalan yang dilakukan adalah sebagai berikut.

ts.plot(data.ts, xlab="Date", ylab="Price", main= "SMA N=4 Price")
points(data.ts)
lines(data.gab[,2],col="green",lwd=2)
lines(data.gab[,3],col="red",lwd=2)
legend("topleft",c("data aktual","data pemulusan","data peramalan"), lty=8, col=c("black","green","red"), cex=0.5)

Selanjutnya perhitungan akurasi dilakukan dengan ukuran akurasi Sum Squares Error (SSE), Mean Square Error (MSE) dan Mean Absolute Percentage Error (MAPE). Perhitungan akurasi dilakukan baik pada data latih maupun pada data uji.

#Menghitung nilai keakuratan data latih

error_train.sma = train_ma.ts-data.ramal[1:length(train_ma.ts)]
SSE_train.sma = sum(error_train.sma[5:length(train_ma.ts)]^2)
MSE_train.sma = mean(error_train.sma[5:length(train_ma.ts)]^2)
MAPE_train.sma = mean(abs((error_train.sma[5:length(train_ma.ts)]/train_ma.ts[5:length(train_ma.ts)])*2360))

akurasi_train.sma <- matrix(c(SSE_train.sma, MSE_train.sma, MAPE_train.sma))
row.names(akurasi_train.sma)<- c("SSE", "MSE", "MAPE")
colnames(akurasi_train.sma) <- c("Akurasi m = 4")
akurasi_train.sma
##      Akurasi m = 4
## SSE    61535.84097
## MSE       65.32467
## MAPE     108.58797

Dalam hal ini nilai MAPE data latih pada metode pemulusan SMA tidak kurang dari 2%, nilai ini dapat dikategorikan sebagai nilai akurasi yang kurang baik. Selanjutnya dilakukan perhitungan nilai MAPE data uji pada metde pemulusan SMA.

#Menghitung nilai keakuratan data uji

error_test.sma = test_ma.ts-data.gab[947:1182,3]
SSE_test.sma = sum(error_test.sma^2)
MSE_test.sma = mean(error_test.sma^2)
MAPE_test.sma = mean(abs((error_test.sma/test_ma.ts*2360)))

akurasi_test.sma <- matrix(c(SSE_test.sma, MSE_test.sma, MAPE_test.sma))
row.names(akurasi_test.sma)<- c("SSE", "MSE", "MAPE")
colnames(akurasi_test.sma) <- c("Akurasi m = 4")
akurasi_test.sma
##      Akurasi m = 4
## SSE    646146.8255
## MSE      2737.9103
## MAPE      497.9267

Perhitungan akurasi menggunakan data latih menghasilkan nilai MAPE yang tidak kurang dari 236% sehingga nilai akurasi ini dapat dikategorikan sebagai kurang baik.

Double Moving Average (DMA)

Metode pemulusan Double Moving Average (DMA) pada dasarnya mirip dengan SMA. Namun demikian, metode ini lebih cocok digunakan untuk pola data trend. Proses pemulusan dengan rata rata dalam metode ini dilakukan sebanyak 2 kali.

dma <- SMA(data.sma, n = 4)
At <- 2*data.sma - dma
Bt <- 2/(4-1)*(data.sma - dma)
data.dma<- At+Bt
data.ramal2<- c(NA, data.dma)

t = 1:236
f = c()

for (i in t) {
  f[i] = At[length(At)] + Bt[length(Bt)]*(i)
}

data.gab2 <- cbind(aktual = c(train_ma.ts,rep(NA,236)), pemulusan1 = c(data.sma,rep(NA,236)),pemulusan2 = c(data.dma, rep(NA,)),At = c(At, rep(NA,236)), Bt = c(Bt,rep(NA,236)),ramalan = c(data.ramal2, f[-1]))
## Warning in cbind(aktual = c(train_ma.ts, rep(NA, 236)), pemulusan1 =
## c(data.sma, : number of rows of result is not a multiple of vector length (arg
## 3)
data.gab2
##         aktual pemulusan1 pemulusan2        At            Bt       ramalan
##    [1,] 114.15         NA         NA        NA            NA            NA
##    [2,] 112.55         NA         NA        NA            NA            NA
##    [3,] 111.20         NA         NA        NA            NA            NA
##    [4,] 114.70   113.1500         NA        NA            NA            NA
##    [5,] 112.90   112.8375         NA        NA            NA            NA
##    [6,] 108.80   111.9000         NA        NA            NA            NA
##    [7,] 104.30   110.1750  107.10729 108.33437  -1.227083333            NA
##    [8,]  98.80   106.2000   99.40312 102.12187  -2.718750000  107.10729167
##    [9,] 104.35   104.0625   97.35937 100.04062  -2.681250000   99.40312500
##   [10,] 106.10   103.3875   99.10625 100.81875  -1.712500000   97.35937500
##   [11,] 106.10   103.8375  102.94687 103.30312  -0.356250000   99.10625000
##   [12,] 103.15   104.9250  106.37812 105.79687   0.581250000  102.94687500
##   [13,] 103.70   104.7625  105.65312 105.29687   0.356250000  106.37812500
##   [14,]  99.60   103.1375  101.42396 102.10937  -0.685416667  105.65312500
##   [15,]  92.65    99.7750   94.15000  96.40000  -2.250000000  101.42395833
##   [16,]  97.75    98.4250   93.25833  95.32500  -2.066666667   94.15000000
##   [17,]  95.30    96.3250   91.17396  93.23437  -2.060416667   93.25833333
##   [18,]  96.85    95.6375   92.46562  93.73437  -1.268750000   91.17395833
##   [19,]  91.80    95.4250   93.71146  94.39687  -0.685416667   92.46562500
##   [20,]  97.95    95.4750   95.07396  95.23437  -0.160416667   93.71145833
##   [21,]  99.20    96.4500   97.62187  97.15312   0.468750000   95.07395833
##   [22,]  95.55    96.1250   96.55208  96.38125   0.170833333   97.62187500
##   [23,]  91.85    96.1375   96.28854  96.22812   0.060416667   96.55208333
##   [24,]  87.25    93.4625   89.99375  91.38125  -1.387500000   96.28854167
##   [25,]  87.05    90.4250   84.40417  86.81250  -2.408333333   89.99375000
##   [26,]  84.85    87.7500   80.76042  83.55625  -2.795833333   84.40416667
##   [27,]  80.80    84.9875   78.03958  80.81875  -2.779166667   80.76041667
##   [28,]  89.15    85.4625   82.63958  83.76875  -1.129166667   78.03958333
##   [29,]  96.65    87.8625   90.10729  89.20937   0.897916667   82.63958333
##   [30,]  87.40    88.5000   91.49479  90.29687   1.197916667   90.10729167
##   [31,]  85.60    89.7000   92.73125  91.51875   1.212500000   91.49479167
##   [32,]  80.65    87.5750   86.18437  86.74062  -0.556250000   92.73125000
##   [33,]  78.40    83.0125   76.03854  78.82812  -2.789583333   86.18437500
##   [34,]  77.75    80.6000   72.89687  75.97812  -3.081250000   76.03854167
##   [35,]  75.00    77.9500   70.72604  73.61562  -2.889583333   72.89687500
##   [36,]  77.40    77.1375   72.90833  74.60000  -1.691666667   70.72604167
##   [37,]  76.25    76.6000   74.14687  75.12812  -0.981250000   72.90833333
##   [38,]  78.00    76.6625   75.95417  76.23750  -0.283333333   74.14687500
##   [39,]  83.00    78.6625   80.99062  80.05937   0.931250000   75.95416667
##   [40,]  79.45    79.1750   81.50833  80.57500   0.933333333   80.99062500
##   [41,]  81.05    80.3750   83.13542  82.03125   1.104166667   81.50833333
##   [42,]  84.15    81.9125   85.04792  83.79375   1.254166667   83.13541667
##   [43,]  75.60    80.0625   79.53125  79.74375  -0.212500000   85.04791667
##   [44,]  73.60    78.6000   75.87083  76.96250  -1.091666667   79.53125000
##   [45,]  74.15    76.8750   72.72917  74.38750  -1.658333333   75.87083333
##   [46,]  68.55    72.9750   66.05312  68.82187  -2.768750000   72.72916667
##   [47,]  68.30    71.1500   64.90000  67.40000  -2.500000000   66.05312500
##   [48,]  67.00    69.5000   64.29167  66.37500  -2.083333333   64.90000000
##   [49,]  63.65    66.8750   61.45833  63.62500  -2.166666667   64.29166667
##   [50,]  62.90    65.4625   60.82187  62.67812  -1.856250000   61.45833333
##   [51,]  65.40    64.7375   61.56042  62.83125  -1.270833333   60.82187500
##   [52,]  65.55    64.3750   62.72917  63.38750  -0.658333333   61.56041667
##   [53,]  64.35    64.5500   64.16458  64.31875  -0.154166667   62.72916667
##   [54,]  65.00    65.0750   65.72604  65.46562   0.260416667   64.16458333
##   [55,]  68.30    65.8000   67.21667  66.65000   0.566666667   65.72604167
##   [56,]  67.10    66.1875   67.49479  66.97187   0.522916667   67.21666667
##   [57,]  63.20    65.9000   66.16562  66.05937   0.106250000   67.49479167
##   [58,]  62.65    65.3125   64.50000  64.82500  -0.325000000   66.16562500
##   [59,]  59.80    63.1875   59.92187  61.22812  -1.306250000   64.50000000
##   [60,]  64.95    62.6500   59.96250  61.03750  -1.075000000   59.92187500
##   [61,]  63.30    62.6750   61.37292  61.89375  -0.520833333   59.96250000
##   [62,]  61.70    62.4375   61.93750  62.13750  -0.200000000   61.37291667
##   [63,]  59.00    62.2375   61.80000  61.97500  -0.175000000   61.93750000
##   [64,]  60.10    61.0250   59.24375  59.95625  -0.712500000   61.80000000
##   [65,]  60.30    60.2750   58.24375  59.05625  -0.812500000   59.24375000
##   [66,]  58.10    59.3750   57.11979  58.02187  -0.902083333   58.24375000
##   [67,]  57.60    59.0250   57.52500  58.12500  -0.600000000   57.11979167
##   [68,]  57.15    58.2875   56.69896  57.33437  -0.635416667   57.52500000
##   [69,]  60.95    58.4500   57.89271  58.11562  -0.222916667   56.69895833
##   [70,]  63.65    59.8375   61.40000  60.77500   0.625000000   57.89270833
##   [71,]  64.95    61.6750   65.19583  63.78750   1.408333333   61.40000000
##   [72,]  63.80    63.3375   67.52500  65.85000   1.675000000   65.19583333
##   [73,]  59.90    63.0750   64.89792  64.16875   0.729166667   67.52500000
##   [74,]  57.90    61.6375   60.31458  60.84375  -0.529166667   64.89791667
##   [75,]  58.15    59.9375   56.50521  57.87812  -1.372916667   60.31458333
##   [76,]  59.40    58.8375   55.44687  56.80312  -1.356250000   56.50520833
##   [77,]  55.90    57.8375   54.96250  56.11250  -1.150000000   55.44687500
##   [78,]  56.10    57.3875   55.53333  56.27500  -0.741666667   54.96250000
##   [79,]  53.85    56.3125   54.17708  55.03125  -0.854166667   55.53333333
##   [80,]  52.05    54.4750   51.09479  52.44687  -1.352083333   54.17708333
##   [81,]  53.75    53.9375   51.28646  52.34687  -1.060416667   51.09479167
##   [82,]  51.30    52.7375   50.02396  51.10937  -1.085416667   51.28645833
##   [83,]  50.40    51.8750   49.57292  50.49375  -0.920833333   50.02395833
##   [84,]  48.40    50.9625   48.60312  49.54687  -0.943750000   49.57291667
##   [85,]  54.35    51.1125   50.18021  50.55312  -0.372916667   48.60312500
##   [86,]  50.95    51.0250   50.66042  50.80625  -0.145833333   50.18020833
##   [87,]  50.50    51.0500   51.07083  51.06250   0.008333333   50.66041667
##   [88,]  48.50    51.0750   51.09062  51.08437   0.006250000   51.07083333
##   [89,]  49.05    49.7500   48.12500  48.77500  -0.650000000   51.09062500
##   [90,]  48.30    49.0875   47.16562  47.93437  -0.768750000   48.12500000
##   [91,]  46.65    48.1250   45.81771  46.74062  -0.922916667   47.16562500
##   [92,]  44.70    47.1750   44.90937  45.81562  -0.906250000   45.81770833
##   [93,]  43.85    45.8750   43.05729  44.18437  -1.127083333   44.90937500
##   [94,]  43.40    44.6500   41.63958  42.84375  -1.204166667   43.05729167
##   [95,]  45.40    44.3375   42.38437  43.16562  -0.781250000   41.63958333
##   [96,]  44.70    44.3375   43.56667  43.87500  -0.308333333   42.38437500
##   [97,]  48.65    45.5375   46.90729  46.35937   0.547916667   43.56666667
##   [98,]  46.40    46.2875   48.22500  47.45000   0.775000000   46.90729167
##   [99,]  42.60    45.5875   45.83750  45.73750   0.100000000   48.22500000
##  [100,]  43.00    45.1625   44.36042  44.68125  -0.320833333   45.83750000
##  [101,]  43.80    43.9500   41.78854  42.65312  -0.864583333   44.36041667
##  [102,]  46.65    44.0125   42.90312  43.34687  -0.443750000   41.78854167
##  [103,]  46.20    44.9125   45.58437  45.31562   0.268750000   42.90312500
##  [104,]  48.55    46.3000   48.81042  47.80625   1.004166667   45.58437500
##  [105,]  49.55    47.7375   51.06562  49.73437   1.331250000   48.81041667
##  [106,]  47.40    47.9250   49.93542  49.13125   0.804166667   51.06562500
##  [107,]  45.90    47.8500   48.51146  48.24687   0.264583333   49.93541667
##  [108,]  45.45    47.0750   46.12187  46.50312  -0.381250000   48.51145833
##  [109,]  44.55    45.8250   43.58542  44.48125  -0.895833333   46.12187500
##  [110,]  44.10    45.0000   42.60417  43.56250  -0.958333333   43.58541667
##  [111,]  48.00    45.5250   44.97292  45.19375  -0.220833333   42.60416667
##  [112,]  45.85    45.6250   45.84375  45.75625   0.087500000   44.97291667
##  [113,]  48.45    46.6000   48.12083  47.51250   0.608333333   45.84375000
##  [114,]  54.75    49.2625   53.44479  51.77187   1.672916667   48.12083333
##  [115,]  54.30    50.8375   55.43125  53.59375   1.837500000   53.44479167
##  [116,]  57.20    53.6750   59.64375  57.25625   2.387500000   55.43125000
##  [117,]  55.00    55.3125   60.38021  58.35312   2.027083333   59.64375000
##  [118,]  53.20    54.9250   56.98750  56.16250   0.825000000   60.38020833
##  [119,]  53.05    54.6125   54.58125  54.59375  -0.012500000   56.98750000
##  [120,]  49.70    52.7375   49.97187  51.07812  -1.106250000   54.58125000
##  [121,]  49.00    51.2375   47.66979  49.09687  -1.427083333   49.97187500
##  [122,]  47.50    49.8125   46.00000  47.52500  -1.525000000   47.66979167
##  [123,]  48.40    48.6500   45.38437  46.69062  -1.306250000   46.00000000
##  [124,]  51.40    49.0750   48.04375  48.45625  -0.412500000   45.38437500
##  [125,]  51.90    49.8000   50.57604  50.26562   0.310416667   48.04375000
##  [126,]  49.15    50.2125   51.50937  50.99062   0.518750000   50.57604167
##  [127,]  46.45    49.7250   49.76146  49.74687   0.014583333   51.50937500
##  [128,]  47.10    48.6500   47.07187  47.70312  -0.631250000   49.76145833
##  [129,]  46.50    47.3000   44.51354  45.62812  -1.114583333   47.07187500
##  [130,]  48.15    47.0500   45.16458  45.91875  -0.754166667   44.51354167
##  [131,]  49.85    47.9000   48.19167  48.07500   0.116666667   45.16458333
##  [132,]  47.35    47.9625   48.64479  48.37187   0.272916667   48.19166667
##  [133,]  48.40    48.4375   49.43750  49.03750   0.400000000   48.64479167
##  [134,]  48.10    48.4250   48.83125  48.66875   0.162500000   49.43750000
##  [135,]  47.55    47.8500   47.31875  47.53125  -0.212500000   48.83125000
##  [136,]  46.90    47.7375   47.11250  47.36250  -0.250000000   47.31875000
##  [137,]  49.20    47.9375   47.85417  47.88750  -0.033333333   47.11250000
##  [138,]  51.50    48.7875   49.96979  49.49687   0.472916667   47.85416667
##  [139,]  55.50    50.7750   54.05104  52.74062   1.310416667   49.96979167
##  [140,]  59.80    54.0000   60.04167  57.62500   2.416666667   54.05104167
##  [141,]  56.05    55.7125   61.36875  59.10625   2.262500000   60.04166667
##  [142,]  55.65    56.7500   60.81771  59.19062   1.627083333   61.36875000
##  [143,]  56.00    56.8750   58.60937  57.91562   0.693750000   60.81770833
##  [144,]  57.35    56.2625   56.03333  56.12500  -0.091666667   58.60937500
##  [145,]  62.60    57.9000   59.48854  58.85312   0.635416667   56.03333333
##  [146,]  68.55    61.1250   66.26562  64.20937   2.056250000   59.48854167
##  [147,]  64.00    63.1250   68.99479  66.64687   2.347916667   66.26562500
##  [148,]  67.85    65.7500   72.04167  69.52500   2.516666667   68.99479167
##  [149,]  66.40    66.7000   70.90833  69.22500   1.683333333   72.04166667
##  [150,]  66.80    66.2625   67.60104  67.06562   0.535416667   70.90833333
##  [151,]  66.60    66.9125   67.75625  67.41875   0.337500000   67.60104167
##  [152,]  63.40    65.8000   64.76875  65.18125  -0.412500000   67.75625000
##  [153,]  56.85    63.4125   59.77187  61.22812  -1.456250000   64.76875000
##  [154,]  62.20    62.2625   58.37187  59.92812  -1.556250000   59.77187500
##  [155,]  61.35    60.9500   57.35625  58.79375  -1.437500000   58.37187500
##  [156,]  61.25    60.4125   58.16771  59.06562  -0.897916667   57.35625000
##  [157,]  65.05    62.4625   64.03021  63.40312   0.627083333   58.16770833
##  [158,]  66.25    63.4750   66.22500  65.12500   1.100000000   64.03020833
##  [159,]  67.65    65.0500   68.71667  67.25000   1.466666667   66.22500000
##  [160,]  65.30    66.0625   69.06250  67.86250   1.200000000   68.71666667
##  [161,]  65.80    66.2500   67.98437  67.29062   0.693750000   69.06250000
##  [162,]  62.65    65.3500   64.80312  65.02187  -0.218750000   67.98437500
##  [163,]  61.60    63.8375   61.27500  62.30000  -1.025000000   64.80312500
##  [164,]  56.85    61.7250   57.44896  59.15937  -1.710416667   61.27500000
##  [165,]  58.65    59.9375   55.31250  57.16250  -1.850000000   57.44895833
##  [166,]  57.70    58.7000   54.78333  56.35000  -1.566666667   55.31250000
##  [167,]  61.30    58.6250   56.75521  57.50312  -0.747916667   54.78333333
##  [168,]  58.25    58.9750   58.83437  58.89062  -0.056250000   56.75520833
##  [169,]  60.80    59.5125   60.44479  60.07187   0.372916667   58.83437500
##  [170,]  60.45    60.2000   61.65312  61.07187   0.581250000   60.44479167
##  [171,]  62.45    60.4875   61.64375  61.18125   0.462500000   61.65312500
##  [172,]  63.75    61.8625   64.10729  63.20937   0.897916667   61.64375000
##  [173,]  67.00    63.4125   66.61562  65.33437   1.281250000   64.10729167
##  [174,]  67.70    65.2250   69.35521  67.70312   1.652083333   66.61562500
##  [175,]  64.70    65.7875   68.64687  67.50312   1.143750000   69.35520833
##  [176,]  65.65    66.2625   68.08021  67.35312   0.727083333   68.64687500
##  [177,]  58.35    64.1000   62.02708  62.85625  -0.829166667   68.08020833
##  [178,]  59.40    62.0250   57.82708  59.50625  -1.679166667   62.02708333
##  [179,]  60.50    60.9750   57.03229  58.60937  -1.577083333   57.82708333
##  [180,]  56.05    58.5750   53.83542  55.73125  -1.895833333   57.03229167
##  [181,]  58.40    58.5875   56.16562  57.13437  -0.968750000   53.83541667
##  [182,]  60.50    58.8625   58.21667  58.47500  -0.258333333   56.16562500
##  [183,]  60.20    58.7875   58.92812  58.87187   0.056250000   58.21666667
##  [184,]  62.30    60.3500   62.35521  61.55312   0.802083333   58.92812500
##  [185,]  60.85    60.9625   62.99896  62.18437   0.814583333   62.35520833
##  [186,]  65.05    62.1000   64.68333  63.65000   1.033333333   62.99895833
##  [187,]  63.70    62.9750   65.27187  64.35312   0.918750000   64.68333333
##  [188,]  60.10    62.4250   62.94062  62.73437   0.206250000   65.27187500
##  [189,]  60.30    62.2875   62.02187  62.12812  -0.106250000   62.94062500
##  [190,]  61.45    61.3875   59.91875  60.50625  -0.587500000   62.02187500
##  [191,]  64.55    61.6000   61.05833  61.27500  -0.216666667   59.91875000
##  [192,]  68.45    63.6875   66.09896  65.13437   0.964583333   61.05833333
##  [193,]  63.00    64.3625   67.03437  65.96562   1.068750000   66.09895833
##  [194,]  63.35    64.8375   66.86354  66.05312   0.810416667   67.03437500
##  [195,]  65.10    64.9750   65.82396  65.48437   0.339583333   66.86354167
##  [196,]  61.20    63.1625   61.20937  61.99062  -0.781250000   65.82395833
##  [197,]  60.50    62.5375   60.30312  61.19687  -0.893750000   61.20937500
##  [198,]  63.10    62.4750   61.12083  61.66250  -0.541666667   60.30312500
##  [199,]  58.65    60.8625   58.53437  59.46562  -0.931250000   61.12083333
##  [200,]  60.35    60.6500   59.01458  59.66875  -0.654166667   58.53437500
##  [201,]  59.50    60.4000   59.23854  59.70312  -0.464583333   59.01458333
##  [202,]  56.65    58.7875   56.47500  57.40000  -0.925000000   59.23854167
##  [203,]  57.75    58.5625   56.83333  57.52500  -0.691666667   56.47500000
##  [204,]  61.90    58.9500   58.57500  58.72500  -0.150000000   56.83333333
##  [205,]  63.00    59.8250   61.14792  60.61875   0.529166667   58.57500000
##  [206,]  64.30    61.7375   65.01875  63.70625   1.312500000   61.14791667
##  [207,]  63.25    63.1125   66.78958  65.31875   1.470833333   65.01875000
##  [208,]  64.95    63.8750   66.77083  65.61250   1.158333333   66.78958333
##  [209,]  68.80    65.3250   68.34583  67.13750   1.208333333   66.77083333
##  [210,]  71.15    67.0375   70.70417  69.23750   1.466666667   68.34583333
##  [211,]  74.45    69.8375   75.36875  73.15625   2.212500000   70.70416667
##  [212,]  75.50    72.4750   78.81875  76.28125   2.537500000   75.36875000
##  [213,]  71.80    73.2250   77.52708  75.80625   1.720833333   78.81875000
##  [214,]  74.00    73.9375   76.55208  75.50625   1.045833333   77.52708333
##  [215,]  70.30    72.9000   72.50937  72.66562  -0.156250000   76.55208333
##  [216,]  75.05    72.7875   72.07917  72.36250  -0.283333333   72.50937500
##  [217,]  73.05    73.1000   72.96458  73.01875  -0.054166667   72.07916667
##  [218,]  74.65    73.2625   73.67917  73.51250   0.166666667   72.96458333
##  [219,]  75.55    74.5750   76.48125  75.71875   0.762500000   73.67916667
##  [220,]  71.95    73.8000   73.99271  73.91562   0.077083333   76.48125000
##  [221,]  73.40    73.8875   73.89792  73.89375   0.004166667   73.99270833
##  [222,]  72.55    73.3625   72.45625  72.81875  -0.362500000   73.89791667
##  [223,]  70.05    71.9875   69.86771  70.71562  -0.847916667   72.45625000
##  [224,]  67.95    70.9875   68.37292  69.41875  -1.045833333   69.86770833
##  [225,]  67.15    69.4250   66.06562  67.40937  -1.343750000   68.37291667
##  [226,]  68.10    68.3125   65.20312  66.44687  -1.243750000   66.06562500
##  [227,]  70.40    68.4000   66.93125  67.51875  -0.587500000   65.20312500
##  [228,]  72.35    69.5000   70.48437  70.09062   0.393750000   66.93125000
##  [229,]  85.55    74.1000   80.80312  78.12187   2.681250000   70.48437500
##  [230,]  83.00    77.8250   86.77292  83.19375   3.579166667   80.80312500
##  [231,]  83.25    81.0375   90.07396  86.45937   3.614583333   86.77291667
##  [232,]  75.70    81.8750   87.15104  85.04062   2.110416667   90.07395833
##  [233,]  71.60    78.3875   76.06458  76.99375  -0.929166667   87.15104167
##  [234,]  70.05    75.1500   68.54583  71.18750  -2.641666667   76.06458333
##  [235,]  68.85    71.5500   62.89896  66.35937  -3.460416667   68.54583333
##  [236,]  69.75    70.0625   63.85417  66.33750  -2.483333333   62.89895833
##  [237,]  69.85    69.6250   66.33854  67.65312  -1.314583333   63.85416667
##  [238,]  66.45    68.7250   66.61562  67.45937  -0.843750000   66.33854167
##  [239,]  67.05    68.2750   66.78021  67.37812  -0.597916667   66.61562500
##  [240,]  65.60    67.2375   65.19062  66.00937  -0.818750000   66.78020833
##  [241,]  66.55    66.4125   64.32917  65.16250  -0.833333333   65.19062500
##  [242,]  70.00    67.3000   67.28958  67.29375  -0.004166667   64.32916667
##  [243,]  68.30    67.6125   68.39896  68.08437   0.314583333   67.28958333
##  [244,]  70.40    68.8125   70.94271  70.09062   0.852083333   68.39895833
##  [245,]  75.35    71.0125   74.89271  73.34062   1.552083333   70.94270833
##  [246,]  83.00    74.2625   80.65833  78.10000   2.558333333   74.89270833
##  [247,]  80.15    77.2250   84.55312  81.62187   2.931250000   80.65833333
##  [248,]  77.20    78.9250   84.87292  82.49375   2.379166667   84.55312500
##  [249,]  74.65    78.7500   81.18229  80.20937   0.972916667   84.87291667
##  [250,]  75.10    76.7750   74.86875  75.63125  -0.762500000   81.18229167
##  [251,]  74.40    75.3375   71.82187  73.22812  -1.406250000   74.86875000
##  [252,]  78.30    75.6125   73.93542  74.60625  -0.670833333   71.82187500
##  [253,]  80.50    77.0750   78.53333  77.95000   0.583333333   73.93541667
##  [254,]  87.25    80.1125   85.24271  83.19062   2.052083333   78.53333333
##  [255,]  88.90    83.7375   91.40937  88.34062   3.068750000   85.24270833
##  [256,]  94.90    87.8875   97.36146  93.57187   3.789583333   91.40937500
##  [257,]  94.80    91.4625  100.90000  97.12500   3.775000000   97.36145833
##  [258,] 102.30    95.2250  104.63646 100.87187   3.764583333  100.90000000
##  [259,] 105.10    99.2750  108.96250 105.08750   3.875000000  104.63645833
##  [260,] 103.75   101.4875  109.19583 106.11250   3.083333333  108.96250000
##  [261,]  96.25   101.8500  105.83437 104.24062   1.593750000  109.19583333
##  [262,] 100.10   101.3000  101.83646 101.62187   0.214583333  105.83437500
##  [263,] 103.25   100.8375   99.95208 100.30625  -0.354166667  101.83645833
##  [264,] 105.30   101.2250  101.09479 101.14687  -0.052083333   99.95208333
##  [265,] 110.50   104.7875  109.37083 107.53750   1.833333333  101.09479167
##  [266,] 113.45   108.1250  115.42708 112.50625   2.920833333  109.37083333
##  [267,] 118.05   111.8250  120.71562 117.15937   3.556250000  115.42708333
##  [268,] 115.25   114.3125  121.89583 118.86250   3.033333333  120.71562500
##  [269,] 121.85   117.1500  124.31146 121.44687   2.864583333  121.89583333
##  [270,] 134.45   122.4000  132.36354 128.37812   3.985416667  124.31145833
##  [271,] 131.60   125.7875  135.57917 131.66250   3.916666667  132.36354167
##  [272,] 120.90   127.2000  133.97604 131.26562   2.710416667  135.57916667
##  [273,] 123.95   127.7250  130.96979 129.67187   1.297916667  133.97604167
##  [274,] 116.85   123.3250  118.85104 120.64062  -1.789583333  130.96979167
##  [275,] 112.55   118.5625  109.16146 112.92187  -3.760416667  118.85104167
##  [276,] 124.80   119.5375  114.95417 116.78750  -1.833333333  109.16145833
##  [277,] 125.15   119.8375  119.04062 119.35937  -0.318750000  114.95416667
##  [278,] 121.90   121.1000  123.33437 122.44062   0.893750000  119.04062500
##  [279,] 119.00   122.7125  125.90521 124.62812   1.277083333  123.33437500
##  [280,] 117.00   120.7625  120.19479 120.42187  -0.227083333  125.90520833
##  [281,] 121.90   119.9500  117.98125 118.76875  -0.787500000  120.19479167
##  [282,] 125.55   120.8625  120.51354 120.65312  -0.139583333  117.98125000
##  [283,] 113.00   119.3625  117.90937 118.49062  -0.581250000  120.51354167
##  [284,] 107.60   117.0125  113.20521 114.72812  -1.522916667  117.90937500
##  [285,] 105.45   112.9000  105.17604 108.26562  -3.089583333  113.20520833
##  [286,] 102.10   107.0375   95.30312  99.99687  -4.693750000  105.17604167
##  [287,] 104.15   104.8250   95.46042  99.20625  -3.745833333   95.30312500
##  [288,] 103.25   103.7375   98.09167 100.35000  -2.258333333   95.46041667
##  [289,]  99.45   102.2375   98.53437 100.01562  -1.481250000   98.09166667
##  [290,] 103.15   102.5000  101.12500 101.67500  -0.550000000   98.53437500
##  [291,] 105.35   102.8000  102.76875 102.78125  -0.012500000  101.12500000
##  [292,] 104.90   103.2125  104.08750 103.73750   0.350000000  102.76875000
##  [293,]  96.10   102.3750  101.79687 102.02812  -0.231250000  104.08750000
##  [294,]  91.65    99.5000   95.38021  97.02812  -1.647916667  101.79687500
##  [295,] 100.00    98.1625   93.74583  95.51250  -1.766666667   95.38020833
##  [296,]  92.20    94.9875   88.70625  91.21875  -2.512500000   93.74583333
##  [297,]  88.20    93.0125   87.34062  89.60937  -2.268750000   88.70625000
##  [298,]  89.00    92.3500   88.55312  90.07187  -1.518750000   87.34062500
##  [299,]  93.45    90.7125   87.29062  88.65937  -1.368750000   88.55312500
##  [300,]  94.85    91.3750   90.56250  90.88750  -0.325000000   87.29062500
##  [301,]  99.65    94.2375   97.68542  96.30625   1.379166667   90.56250000
##  [302,] 103.45    97.8500  105.02708 102.15625   2.870833333   97.68541667
##  [303,]  98.35    99.0750  104.80937 102.51562   2.293750000  105.02708333
##  [304,] 103.90   101.3375  106.69167 104.55000   2.141666667  104.80937500
##  [305,] 106.95   103.1625  107.83958 105.96875   1.870833333  106.69166667
##  [306,]  96.80   101.5000  101.88542 101.73125   0.154166667  107.83958333
##  [307,]  97.40   101.2625  100.34062 100.70937  -0.368750000  101.88541667
##  [308,]  90.75    97.9750   92.97500  94.97500  -2.000000000  100.34062500
##  [309,]  92.75    94.4250   87.14896  90.05937  -2.910416667   92.97500000
##  [310,]  94.35    93.8125   88.71875  90.75625  -2.037500000   87.14895833
##  [311,] 102.60    95.1125   94.74792  94.89375  -0.145833333   88.71875000
##  [312,] 107.10    99.2000  105.13750 102.76250   2.375000000   94.74791667
##  [313,] 119.55   105.9000  118.22292 113.29375   4.929166667  105.13750000
##  [314,] 119.95   112.3000  127.58646 121.47187   6.114583333  118.22291667
##  [315,] 118.40   116.2500  129.31250 124.08750   5.225000000  127.58645833
##  [316,] 124.30   120.5500  131.88333 127.35000   4.533333333  129.31250000
##  [317,] 117.60   120.0625  124.68229 122.83437   1.847916667  131.88333333
##  [318,] 115.10   118.8500  118.71979 118.77187  -0.052083333  124.68229167
##  [319,] 109.45   116.6125  112.60208 114.20625  -1.604166667  118.71979167
##  [320,] 110.95   113.2750  106.73333 109.35000  -2.616666667  112.60208333
##  [321,] 112.10   111.9000  106.46771 108.64062  -2.172916667  106.73333333
##  [322,] 105.70   109.5500  104.07604 106.26562  -2.189583333  106.46770833
##  [323,] 103.65   108.1000  103.75625 105.49375  -1.737500000  104.07604167
##  [324,] 105.30   106.6875  102.73437 104.31562  -1.581250000  103.75625000
##  [325,] 107.00   105.4125  102.03750 103.38750  -1.350000000  102.73437500
##  [326,] 108.35   106.0750  105.25208 105.58125  -0.329166667  102.03750000
##  [327,] 105.25   106.4750  106.99583 106.78750   0.208333333  105.25208333
##  [328,] 112.00   108.1500  110.85312 109.77187   1.081250000  106.99583333
##  [329,] 107.20   108.2000  109.82500 109.17500   0.650000000  110.85312500
##  [330,] 106.50   107.7375  107.89896 107.83437   0.064583333  109.82500000
##  [331,] 101.80   106.8750  105.43229 106.00937  -0.577083333  107.89895833
##  [332,] 100.65   104.0375   99.57917 101.36250  -1.783333333  105.43229167
##  [333,]  98.10   101.7625   96.19479  98.42187  -2.227083333   99.57916667
##  [334,] 101.25   100.4500   95.73125  97.61875  -1.887500000   96.19479167
##  [335,]  95.90    98.9750   95.08958  96.64375  -1.554166667   95.73125000
##  [336,]  95.25    97.6250   94.16146  95.54687  -1.385416667   95.08958333
##  [337,]  95.30    96.9250   94.31042  95.35625  -1.045833333   94.16145833
##  [338,]  99.50    96.4875   94.79479  95.47187  -0.677083333   94.31041667
##  [339,]  98.40    97.1125   97.23750  97.18750   0.050000000   94.79479167
##  [340,]  97.00    97.5500   98.43542  98.08125   0.354166667   97.23750000
##  [341,]  95.60    97.6250   98.34375  98.05625   0.287500000   98.43541667
##  [342,]  99.40    97.6000   97.81354  97.72812   0.085416667   98.34375000
##  [343,] 105.45    99.3625  101.57604 100.69062   0.885416667   97.81354167
##  [344,] 104.30   101.1875  104.92708 103.43125   1.495833333  101.57604167
##  [345,] 103.25   103.1000  107.74583 105.88750   1.858333333  104.92708333
##  [346,] 106.20   104.8000  109.27917 107.48750   1.791666667  107.74583333
##  [347,] 103.40   104.2875  105.86042 105.23125   0.629166667  109.27916667
##  [348,] 102.45   103.8250  103.52812 103.64687  -0.118750000  105.86041667
##  [349,]  98.65   102.6750  100.63854 101.45312  -0.814583333  103.52812500
##  [350,] 104.45   102.2375  100.53958 101.21875  -0.679166667  100.63854167
##  [351,] 107.65   103.3000  103.78437 103.59062   0.193750000  100.53958333
##  [352,] 103.90   103.6625  104.81875 104.35625   0.462500000  103.78437500
##  [353,] 104.05   105.0125  107.44479 106.47187   0.972916667  104.81875000
##  [354,] 102.05   104.4125  104.93854 104.72812   0.210416667  107.44479167
##  [355,] 108.00   104.5000  104.67187 104.60312   0.068750000  104.93854167
##  [356,] 112.45   106.6375  109.13229 108.13437   0.997916667  104.67187500
##  [357,] 115.85   109.5875  115.09271 112.89062   2.202083333  109.13229167
##  [358,] 113.10   112.3500  119.15208 116.43125   2.720833333  115.09270833
##  [359,] 115.55   114.2375  120.12812 117.77187   2.356250000  119.15208333
##  [360,] 123.20   116.9250  123.00833 120.57500   2.433333333  120.12812500
##  [361,] 121.85   118.4250  123.32604 121.36562   1.960416667  123.00833333
##  [362,] 121.55   120.5375  125.54792 123.54375   2.004166667  123.32604167
##  [363,] 125.40   123.0000  128.46354 126.27812   2.185416667  125.54791667
##  [364,] 126.20   123.7500  127.61979 126.07187   1.547916667  128.46354167
##  [365,] 120.45   123.4000  124.61354 124.12812   0.485416667  127.61979167
##  [366,] 120.30   123.0875  122.71771 122.86562  -0.147916667  124.61354167
##  [367,] 119.70   121.6625  119.47500 120.35000  -0.875000000  122.71770833
##  [368,] 116.30   119.1875  114.77604 116.54062  -1.764583333  119.47500000
##  [369,] 118.35   118.6625  115.35000 116.67500  -1.325000000  114.77604167
##  [370,] 114.75   117.2750  114.07187 115.35312  -1.281250000  115.35000000
##  [371,] 113.20   115.6500  112.24375 113.60625  -1.362500000  114.07187500
##  [372,] 119.25   116.3875  115.37708 115.78125  -0.404166667  112.24375000
##  [373,] 114.35   115.3875  114.07500 114.60000  -0.525000000  115.37708333
##  [374,] 111.50   114.5750  113.03333 113.65000  -0.616666667  114.07500000
##  [375,] 109.45   113.6375  111.37187 112.27812  -0.906250000  113.03333333
##  [376,] 113.35   112.1625  109.19896 110.38437  -1.185416667  111.37187500
##  [377,] 109.25   110.8875  107.67396 108.95937  -1.285416667  109.19895833
##  [378,] 110.85   110.7250  108.84479 109.59687  -0.752083333  107.67395833
##  [379,] 112.85   111.5750  111.97083 111.81250   0.158333333  108.84479167
##  [380,] 107.70   110.1625  109.03750 109.48750  -0.450000000  111.97083333
##  [381,] 103.75   108.7875  106.24583 107.26250  -1.016666667  109.03750000
##  [382,] 103.00   106.8250  102.63750 104.31250  -1.675000000  106.24583333
##  [383,] 102.80   104.3125   98.96354 101.10312  -2.139583333  102.63750000
##  [384,] 109.50   104.7625  102.41354 103.35312  -0.939583333   98.96354167
##  [385,] 112.90   107.0500  109.23750 108.36250   0.875000000  102.41354167
##  [386,] 117.40   110.6500  117.24375 114.60625   2.637500000  109.23750000
##  [387,] 114.85   113.6625  121.38125 118.29375   3.087500000  117.24375000
##  [388,] 114.70   114.9625  120.59792 118.34375   2.254166667  121.38125000
##  [389,] 113.60   115.1375  117.69479 116.67187   1.022916667  120.59791667
##  [390,] 111.00   113.5375  112.22500 112.75000  -0.525000000  117.69479167
##  [391,] 107.25   111.6375  108.00208 109.45625  -1.454166667  112.22500000
##  [392,] 107.75   109.9000  105.47812 107.24687  -1.768750000  108.00208333
##  [393,] 114.00   110.0000  107.88542 108.73125  -0.845833333  105.47812500
##  [394,] 112.70   110.4250  110.31562 110.35937  -0.043750000  107.88541667
##  [395,] 117.65   113.0250  116.67083 115.21250   1.458333333  110.31562500
##  [396,] 120.60   116.2375  122.59687 120.05312   2.543750000  116.67083333
##  [397,] 115.55   116.6250  120.86979 119.17187   1.697916667  122.59687500
##  [398,] 114.65   117.1125  119.38333 118.47500   0.908333333  120.86979167
##  [399,] 112.65   115.8625  114.86771 115.26562  -0.397916667  119.38333333
##  [400,] 113.75   114.1500  111.17083 112.36250  -1.191666667  114.86770833
##  [401,] 118.05   114.7750  113.60833 114.07500  -0.466666667  111.17083333
##  [402,] 129.90   118.5875  123.16042 121.33125   1.829166667  113.60833333
##  [403,] 128.65   122.5875  131.02500 127.65000   3.375000000  123.16041667
##  [404,] 137.00   128.4000  140.58750 135.71250   4.875000000  131.02500000
##  [405,] 139.30   133.7125  146.86354 141.60312   5.260416667  140.58750000
##  [406,] 125.00   132.4875  137.80521 135.67812   2.127083333  146.86354167
##  [407,] 121.45   130.6875  129.63021 130.05312  -0.422916667  137.80520833
##  [408,] 118.90   126.1625  118.49583 121.56250  -3.066666667  129.63020833
##  [409,] 121.75   121.7750  111.76979 115.77187  -4.002083333  118.49583333
##  [410,] 124.90   121.7500  116.17708 118.40625  -2.229166667  111.76979167
##  [411,] 123.45   122.2500  121.02604 121.51562  -0.489583333  116.17708333
##  [412,] 125.95   124.0125  126.62187 125.57812   1.043750000  121.02604167
##  [413,] 127.75   125.5125  129.06458 127.64375   1.420833333  126.62187500
##  [414,] 130.75   126.9750  130.78750 129.26250   1.525000000  129.06458333
##  [415,] 134.20   129.6625  134.86562 132.78437   2.081250000  130.78750000
##  [416,] 133.10   131.4500  136.53333 134.50000   2.033333333  134.86562500
##  [417,] 132.70   132.6875  136.84375 135.18125   1.662500000  136.53333333
##  [418,] 136.30   134.0750  137.58542 136.18125   1.404166667  136.84375000
##  [419,] 133.10   133.8000  135.12812 134.59687   0.531250000  137.58541667
##  [420,] 131.45   133.3875  133.22083 133.28750  -0.066666667  135.12812500
##  [421,] 139.10   134.9875  136.52917 135.91250   0.616666667  133.22083333
##  [422,] 147.20   137.7125  142.28021 140.45312   1.827083333  136.52916667
##  [423,] 149.85   141.9000  150.07187 146.80312   3.268750000  142.28020833
##  [424,] 160.15   149.0750  162.66875 157.23125   5.437500000  150.07187500
##  [425,] 164.60   155.4500  171.14271 164.86562   6.277083333  162.66875000
##  [426,] 148.75   155.8375  164.62396 161.10937   3.514583333  171.14270833
##  [427,] 150.05   155.8875  158.92917 157.71250   1.216666667  164.62395833
##  [428,] 130.90   148.5750  139.63750 143.21250  -3.575000000  158.92916667
##  [429,] 130.40   140.0250  123.26458 129.96875  -6.704166667  139.63750000
##  [430,] 131.90   135.8125  120.37500 126.55000  -6.175000000  123.26458333
##  [431,] 130.85   131.0125  117.93958 123.16875  -5.229166667  120.37500000
##  [432,] 135.25   132.1000  127.70417 129.46250  -1.758333333  117.93958333
##  [433,] 130.45   132.1125  131.03437 131.46562  -0.431250000  127.70416667
##  [434,] 128.55   131.2750  130.69167 130.92500  -0.233333333  131.03437500
##  [435,] 136.00   132.5625  133.47917 133.11250   0.366666667  130.69166667
##  [436,] 138.00   133.2500  134.83333 134.20000   0.633333333  133.47916667
##  [437,] 134.00   134.1375  136.35625 135.46875   0.887500000  134.83333333
##  [438,] 133.90   135.4750  138.17292 137.09375   1.079166667  136.35625000
##  [439,] 135.85   135.4375  136.87500 136.30000   0.575000000  138.17291667
##  [440,] 134.40   134.5375  133.93854 134.17812  -0.239583333  136.87500000
##  [441,] 143.95   137.0250  139.36875 138.43125   0.937500000  133.93854167
##  [442,] 150.15   141.0875  147.86354 145.15312   2.710416667  139.36875000
##  [443,] 149.55   144.5125  153.21562 149.73437   3.481250000  147.86354167
##  [444,] 140.05   145.9250  152.23750 149.71250   2.525000000  153.21562500
##  [445,] 135.65   143.8500  143.86042 143.85625   0.004166667  152.23750000
##  [446,] 137.30   140.6375  135.48125 137.54375  -2.062500000  143.86041667
##  [447,] 140.15   138.2875  131.80833 134.40000  -2.591666667  135.48125000
##  [448,] 135.80   137.2250  132.60000 134.45000  -1.850000000  131.80833333
##  [449,] 132.85   136.5250  133.78542 134.88125  -1.095833333  132.60000000
##  [450,] 140.25   137.2625  137.15833 137.20000  -0.041666667  133.78541667
##  [451,] 141.90   137.7000  138.56979 138.22187   0.347916667  137.15833333
##  [452,] 138.85   138.4625  140.08750 139.43750   0.650000000  138.56979167
##  [453,] 135.10   139.0250  140.54583 139.93750   0.608333333  140.08750000
##  [454,] 133.10   137.2375  135.78958 136.36875  -0.579166667  140.54583333
##  [455,] 134.15   135.3000  131.62292 133.09375  -1.470833333  135.78958333
##  [456,] 122.05   131.1000  123.49062 126.53437  -3.043750000  131.62291667
##  [457,] 115.35   126.1625  115.68333 119.87500  -4.191666667  123.49062500
##  [458,] 115.60   121.7875  110.45417 114.98750  -4.533333333  115.68333333
##  [459,] 108.65   115.4125  101.74062 107.20937  -5.468750000  110.45416667
##  [460,] 113.00   113.1500  103.18646 107.17187  -3.985416667  101.74062500
##  [461,] 112.10   112.3375  106.78021 109.00312  -2.222916667  103.18645833
##  [462,] 110.95   111.1750  108.10208 109.33125  -1.229166667  106.78020833
##  [463,] 108.95   111.2500  110.03646 110.52187  -0.485416667  108.10208333
##  [464,] 114.10   111.5250  111.44687 111.47812  -0.031250000  110.03645833
##  [465,] 101.60   108.9000  105.87917 107.08750  -1.208333333  111.44687500
##  [466,] 109.85   108.6250  106.20833 107.17500  -0.966666667  105.87916667
##  [467,] 110.95   109.1250  108.42708 108.70625  -0.279166667  106.20833333
##  [468,] 108.40   107.7000  106.22083 106.81250  -0.591666667  108.42708333
##  [469,] 110.90   110.0250  111.95208 111.18125   0.770833333  106.22083333
##  [470,] 116.90   111.7875  115.33437 113.91562   1.418750000  111.95208333
##  [471,] 115.80   113.0000  116.95312 115.37187   1.581250000  115.33437500
##  [472,] 119.65   115.8125  121.07292 118.96875   2.104166667  116.95312500
##  [473,] 118.90   117.8125  123.16146 121.02187   2.139583333  121.07291667
##  [474,] 119.55   118.4750  122.14167 120.67500   1.466666667  123.16145833
##  [475,] 112.35   117.6125  117.91979 117.79687   0.122916667  122.14166667
##  [476,] 108.90   114.9250  111.12292 112.64375  -1.520833333  117.91979167
##  [477,] 109.45   112.5625  107.01042 109.23125  -2.220833333  111.12291667
##  [478,] 105.30   109.0000  101.45833 104.47500  -3.016666667  107.01041667
##  [479,] 108.30   107.9875  102.76875 104.85625  -2.087500000  101.45833333
##  [480,] 116.20   109.8125  109.76562 109.78437  -0.018750000  102.76875000
##  [481,] 115.85   111.4125  114.51146 113.27187   1.239583333  109.76562500
##  [482,] 118.40   114.6875  120.87500 118.40000   2.475000000  114.51145833
##  [483,] 119.30   117.4375  124.27083 121.53750   2.733333333  120.87500000
##  [484,] 111.85   116.3500  118.64687 117.72812   0.918750000  124.27083333
##  [485,] 119.00   117.1375  118.36146 117.87187   0.489583333  118.64687500
##  [486,] 119.85   117.5000  118.15625 117.89375   0.262500000  118.36145833
##  [487,] 125.70   119.1000  121.73021 120.67812   1.052083333  118.15625000
##  [488,] 127.55   123.0250  129.41562 126.85937   2.556250000  121.73020833
##  [489,] 135.00   127.0250  135.96250 132.38750   3.575000000  129.41562500
##  [490,] 137.40   131.4125  141.86562 137.68437   4.181250000  135.96250000
##  [491,] 133.85   133.4500  141.31979 138.17187   3.147916667  141.86562500
##  [492,] 129.55   133.9500  138.10104 136.44062   1.660416667  141.31979167
##  [493,] 116.70   129.3750  124.92187 126.70312  -1.781250000  138.10104167
##  [494,] 116.75   124.2125  114.15521 118.17812  -4.022916667  124.92187500
##  [495,] 115.05   119.5125  107.42917 112.26250  -4.833333333  114.15520833
##  [496,] 112.30   115.2000  103.74167 108.32500  -4.583333333  107.42916667
##  [497,] 116.25   115.0875  109.39479 111.67187  -2.277083333  103.74166667
##  [498,] 123.95   116.8875  117.24687 117.10312   0.143750000  109.39479167
##  [499,] 127.85   120.0875  125.54062 123.35937   2.181250000  117.24687500
##  [500,] 137.90   126.4875  137.90417 133.33750   4.566666667  125.54062500
##  [501,] 128.95   129.6625  140.29792 136.04375   4.254166667  137.90416667
##  [502,] 123.70   129.6000  134.83437 132.74062   2.093750000  140.29791667
##  [503,] 121.10   127.9125  127.07396 127.40937  -0.335416667  134.83437500
##  [504,] 122.85   124.1500  118.01458 120.46875  -2.454166667  127.07395833
##  [505,] 125.30   123.2375  118.25833 120.25000  -1.991666667  118.01458333
##  [506,] 134.80   126.0125  127.15312 126.69687   0.456250000  118.25833333
##  [507,] 127.70   127.6625  131.65729 130.05937   1.597916667  127.15312500
##  [508,] 129.70   129.3750  134.04687 132.17812   1.868750000  131.65729167
##  [509,] 135.65   131.9625  137.31146 135.17187   2.139583333  134.04687500
##  [510,] 142.88   133.9825  139.37729 137.21937   2.157916667  137.31145833
##  [511,] 136.20   136.1075  141.52521 139.35812   2.167083333  139.37729167
##  [512,] 135.38   137.5275  141.91500 140.16000   1.755000000  141.52520833
##  [513,] 138.23   138.1725  141.04750 139.89750   1.150000000  141.91500000
##  [514,] 131.10   135.2275  132.67542 133.69625  -1.020833333  141.04750000
##  [515,] 135.50   135.0525  132.64833 133.61000  -0.961666667  132.67541667
##  [516,] 138.43   135.8150  135.39521 135.56312  -0.167916667  132.64833333
##  [517,] 141.15   136.5450  138.02000 137.43000   0.590000000  135.39520833
##  [518,] 143.05   139.5325  144.19292 142.32875   1.864166667  138.02000000
##  [519,] 145.50   142.0325  147.95125 145.58375   2.367500000  144.19291667
##  [520,] 139.80   142.3750  146.13125 144.62875   1.502500000  147.95125000
##  [521,] 135.93   141.0700  140.76583 140.88750  -0.121666667  146.13125000
##  [522,] 145.35   141.6450  141.41896 141.50937  -0.090416667  140.76583333
##  [523,] 140.75   140.4575  138.90854 139.52812  -0.619583333  141.41895833
##  [524,] 139.60   140.4075  139.59500 139.92000  -0.325000000  138.90854167
##  [525,] 131.95   139.4125  137.63229 138.34437  -0.712083333  139.59500000
##  [526,] 128.80   135.2750  129.25312 131.66187  -2.408750000  137.63229167
##  [527,] 132.75   133.2750  126.91250 129.45750  -2.545000000  129.25312500
##  [528,] 134.75   132.0625  127.15625 129.11875  -1.962500000  126.91250000
##  [529,] 129.05   131.3375  128.58750 129.68750  -1.100000000  127.15625000
##  [530,] 128.00   131.1375  129.77812 130.32187  -0.543750000  128.58750000
##  [531,] 130.15   130.4875  129.20625 129.71875  -0.512500000  129.77812500
##  [532,] 130.30   129.3750  127.35937 128.16562  -0.806250000  129.20625000
##  [533,] 135.85   131.0750  132.00208 131.63125   0.370833333  127.35937500
##  [534,] 137.40   133.4250  137.31562 135.75937   1.556250000  132.00208333
##  [535,] 132.70   134.0625  137.52604 136.14062   1.385416667  137.31562500
##  [536,] 129.10   133.7625  134.89792 134.44375   0.454166667  137.52604167
##  [537,] 131.80   132.7500  131.50000 132.00000  -0.500000000  134.89791667
##  [538,] 135.20   132.2000  130.54375 131.20625  -0.662500000  131.50000000
##  [539,] 133.00   132.2750  131.48854 131.80312  -0.314583333  130.54375000
##  [540,] 134.25   133.5625  135.00521 134.42812   0.577083333  131.48854167
##  [541,] 132.40   133.7125  135.00417 134.48750   0.516666667  135.00520833
##  [542,] 134.25   133.4750  133.83958 133.69375   0.145833333  135.00416667
##  [543,] 133.75   133.6625  133.76146 133.72187   0.039583333  133.83958333
##  [544,] 144.95   136.3375  139.73854 138.37812   1.360416667  133.76145833
##  [545,] 160.25   143.3000  154.31042 149.90625   4.404166667  139.73854167
##  [546,] 167.00   151.4875  168.63854 161.77812   6.860416667  154.31041667
##  [547,] 164.05   159.0625  178.25521 170.57812   7.677083333  168.63854167
##  [548,] 163.23   163.6325  179.06896 172.89437   6.174583333  178.25520833
##  [549,] 166.55   165.2075  174.14083 170.56750   3.573333333  179.06895833
##  [550,] 165.28   164.7775  167.45667 166.38500   1.071666667  174.14083333
##  [551,] 175.33   167.5975  171.42042 169.89125   1.529166667  167.45666667
##  [552,] 167.80   168.7400  172.33896 170.89937   1.439583333  171.42041667
##  [553,] 176.25   171.1650  176.32333 174.26000   2.063333333  172.33895833
##  [554,] 186.28   176.4150  185.47437 181.85062   3.623750000  176.32333333
##  [555,] 179.68   177.5025  184.24729 181.54937   2.697916667  185.47437500
##  [556,] 186.20   182.1025  190.94625 187.40875   3.537500000  184.24729167
##  [557,] 189.85   185.5025  194.03896 190.62437   3.414583333  190.94625000
##  [558,] 187.85   185.8950  191.13562 189.03937   2.096250000  194.03895833
##  [559,] 180.60   186.1250  188.15625 187.34375   0.812500000  191.13562500
##  [560,] 181.10   184.8500  183.61146 184.10687  -0.495416667  188.15625000
##  [561,] 182.15   182.9250  179.55208 180.90125  -1.349166667  183.61145833
##  [562,] 186.40   182.5625  179.97396 181.00937  -1.035416667  179.55208333
##  [563,] 198.85   187.1250  191.72396 189.88437   1.839583333  179.97395833
##  [564,] 203.45   192.7125  203.34792 199.09375   4.254166667  191.72395833
##  [565,] 205.15   198.4625  212.20729 206.70937   5.497916667  203.34791667
##  [566,] 200.45   201.9750  213.48542 208.88125   4.604166667  212.20729167
##  [567,] 209.85   204.7250  213.48542 209.98125   3.504166667  213.48541667
##  [568,] 202.15   204.4000  207.74896 206.40937   1.339583333  213.48541667
##  [569,] 204.50   204.2375  204.90937 204.64062   0.268750000  207.74895833
##  [570,] 208.98   206.3700  208.76479 207.80687   0.957916667  204.90937500
##  [571,] 225.25   210.2200  216.74187 214.13312   2.608750000  208.76479167
##  [572,] 236.67   218.8500  233.73437 227.78062   5.953750000  216.74187500
##  [573,] 240.50   227.8500  247.89583 239.87750   8.018333333  233.73437500
##  [574,] 230.70   233.2800  251.16333 244.01000   7.153333333  247.89583333
##  [575,] 234.60   235.6175  246.81437 242.33562   4.478750000  251.16333333
##  [576,] 240.32   236.5300  241.88104 239.74062   2.140416667  246.81437500
##  [577,] 245.00   237.6550  240.79562 239.53937   1.256250000  241.88104167
##  [578,] 249.30   242.3050  249.43521 246.58312   2.852083333  240.79562500
##  [579,] 251.95   246.6425  256.40812 252.50187   3.906250000  249.43520833
##  [580,] 271.65   254.4750  269.81771 263.68062   6.137083333  256.40812500
##  [581,] 267.70   260.1500  275.57812 269.40687   6.171250000  269.81770833
##  [582,] 272.90   266.0500  281.41771 275.27062   6.147083333  275.57812500
##  [583,] 273.70   271.4875  285.56562 279.93437   5.631250000  281.41770833
##  [584,] 276.80   272.7750  281.37396 277.93437   3.439583333  285.56562500
##  [585,] 268.60   273.0000  276.61979 275.17187   1.447916667  281.37395833
##  [586,] 259.90   269.7500  266.41146 267.74687  -1.335416667  276.61979167
##  [587,] 274.95   270.0625  267.83854 268.72812  -0.889583333  266.41145833
##  [588,] 288.10   272.8875  275.32500 274.35000   0.975000000  267.83854167
##  [589,] 294.25   279.3000  289.80000 285.60000   4.200000000  275.32500000
##  [590,] 299.35   289.1625  308.01146 300.47187   7.539583333  289.80000000
##  [591,] 287.05   292.1875  306.85937 300.99062   5.868750000  308.01145833
##  [592,] 269.30   287.4875  288.24271 287.94062   0.302083333  306.85937500
##  [593,] 259.15   278.7125  265.08750 270.53750  -5.450000000  288.24270833
##  [594,] 263.70   269.8000  249.38854 257.55312  -8.164583333  265.08750000
##  [595,] 270.95   265.7750  249.66042 256.10625  -6.445833333  249.38854167
##  [596,] 264.95   264.6875  256.26042 259.63125  -3.370833333  249.66041667
##  [597,] 249.55   262.2875  256.70417 258.93750  -2.233333333  256.26041667
##  [598,] 249.00   258.6125  251.56562 254.38437  -2.818750000  256.70416667
##  [599,] 263.45   256.7375  250.33125 252.89375  -2.562500000  251.56562500
##  [600,] 263.15   256.2875  252.63125 254.09375  -1.462500000  250.33125000
##  [601,] 252.55   257.0375  256.81875 256.90625  -0.087500000  252.63125000
##  [602,] 241.50   255.1625  253.25625 254.01875  -0.762500000  256.81875000
##  [603,] 239.55   249.1875  240.46875 243.95625  -3.487500000  253.25625000
##  [604,] 238.00   242.9000  229.28021 234.72812  -5.447916667  240.46875000
##  [605,] 240.35   239.8500  228.30833 232.92500  -4.616666667  229.28020833
##  [606,] 266.15   246.0125  248.55417 247.53750   1.016666667  228.30833333
##  [607,] 278.90   255.8500  272.01146 265.54687   6.464583333  248.55416667
##  [608,] 289.20   268.6500  295.41562 284.70937  10.706250000  272.01145833
##  [609,] 271.25   276.3750  300.79687 291.02812   9.768750000  295.41562500
##  [610,] 263.00   275.5875  286.37396 282.05937   4.314583333  300.79687500
##  [611,] 231.45   263.7250  251.45937 256.36562  -4.906250000  286.37395833
##  [612,] 228.90   248.6500  219.59271 231.21562 -11.622916667  251.45937500
##  [613,] 224.35   236.9250  204.76354 217.62812 -12.864583333  219.59270833
##  [614,] 239.55   231.0625  207.68229 217.03437  -9.352083333  204.76354167
##  [615,] 244.85   234.4125  228.82917 231.06250  -2.233333333  207.68229167
##  [616,] 235.15   235.9750  238.27708 237.35625   0.920833333  228.82916667
##  [617,] 230.20   237.4375  241.96354 240.15312   1.810416667  238.27708333
##  [618,] 233.95   236.0375  236.15729 236.10937   0.047916667  241.96354167
##  [619,] 234.20   233.3750  229.48958 231.04375  -1.554166667  236.15729167
##  [620,] 229.60   231.9875  227.45104 229.26562  -1.814583333  229.48958333
##  [621,] 227.15   231.2250  228.00625 229.29375  -1.287500000  227.45104167
##  [622,] 227.05   229.5000  226.13021 227.47812  -1.347916667  228.00625000
##  [623,] 210.95   223.6875  214.66667 218.27500  -3.608333333  226.13020833
##  [624,] 217.88   220.7575  211.53250 215.22250  -3.690000000  214.66666667
##  [625,] 226.85   220.6825  215.72521 217.70812  -1.982916667  211.53250000
##  [626,] 221.75   219.3575  216.41792 217.59375  -1.175833333  215.72520833
##  [627,] 225.25   222.9325  226.26583 224.93250   1.333333333  216.41791667
##  [628,] 225.40   224.8125  229.58958 227.67875   1.910833333  226.26583333
##  [629,] 217.35   222.4375  222.52500 222.49000   0.035000000  229.58958333
##  [630,] 215.95   220.9875  217.97917 219.18250  -1.203333333  222.52500000
##  [631,] 215.30   218.5000  213.19271 215.31562  -2.122916667  217.97916667
##  [632,] 200.05   212.1625  201.56354 205.80312  -4.239583333  213.19270833
##  [633,] 203.25   208.6375  197.91354 202.20312  -4.289583333  201.56354167
##  [634,] 201.65   205.0625  195.01562 199.03437  -4.018750000  197.91354167
##  [635,] 185.60   197.6375  183.90833 189.40000  -5.491666667  195.01562500
##  [636,] 181.35   192.9625  179.44167 184.85000  -5.408333333  183.90833333
##  [637,] 178.75   186.8375  172.19167 178.05000  -5.858333333  179.44166667
##  [638,] 182.45   182.0375  168.98542 174.20625  -5.220833333  172.19166667
##  [639,] 183.00   181.3875  174.02292 176.96875  -2.945833333  168.98541667
##  [640,] 179.20   180.8500  177.63646 178.92187  -1.285416667  174.02291667
##  [641,] 177.70   180.5875  179.54062 179.95937  -0.418750000  177.63645833
##  [642,] 175.00   178.7250  175.95417 177.06250  -1.108333333  179.54062500
##  [643,] 173.50   176.3500  171.71979 173.57187  -1.852083333  175.95416667
##  [644,] 176.55   175.6875  172.10417 173.53750  -1.433333333  171.71979167
##  [645,] 177.70   175.6875  174.14583 174.76250  -0.616666667  172.10416667
##  [646,] 167.80   173.8875  171.36146 172.37187  -1.010416667  174.14583333
##  [647,] 157.50   169.8875  163.38750 165.98750  -2.600000000  171.36145833
##  [648,] 155.60   164.6500  154.01979 158.27187  -4.252083333  163.38750000
##  [649,] 150.05   157.7375  143.06562 148.93437  -5.868750000  154.01979167
##  [650,] 155.15   154.5750  142.67917 147.43750  -4.758333333  143.06562500
##  [651,] 170.85   157.9125  156.56875 157.10625  -0.537500000  142.67916667
##  [652,] 175.90   162.9875  170.79479 167.67187   3.122916667  156.56875000
##  [653,] 184.45   171.5875  187.95729 181.40937   6.547916667  170.79479167
##  [654,] 186.95   179.5375  198.75625 191.06875   7.687500000  187.95729167
##  [655,] 173.70   180.2500  191.34896 186.90937   4.439583333  198.75625000
##  [656,] 173.80   179.7250  182.97500 181.67500   1.300000000  191.34895833
##  [657,] 166.25   175.1750  169.34687 171.67812  -2.331250000  182.97500000
##  [658,] 160.30   168.5125  156.17396 161.10937  -4.935416667  169.34687500
##  [659,] 163.15   165.8750  155.13021 159.42812  -4.297916667  156.17395833
##  [660,] 164.55   163.5625  155.69792 158.84375  -3.145833333  155.13020833
##  [661,] 162.70   162.6750  158.53958 160.19375  -1.654166667  155.69791667
##  [662,] 180.80   167.8000  172.50312 170.62187   1.881250000  158.53958333
##  [663,] 173.30   170.3375  177.41042 174.58125   2.829166667  172.50312500
##  [664,] 173.50   172.5750  179.62187 176.80312   2.818750000  177.41041667
##  [665,] 167.77   173.8425  178.34875 176.54625   1.802500000  179.62187500
##  [666,] 162.35   169.2300  165.45292 166.96375  -1.510833333  178.34875000
##  [667,] 161.65   166.3175  159.36125 162.14375  -2.782500000  165.45291667
##  [668,] 157.75   162.3800  153.10917 156.81750  -3.708333333  159.36125000
##  [669,] 154.70   159.1125  150.53333 153.96500  -3.431666667  153.10916667
##  [670,] 149.90   156.0000  147.74583 151.04750  -3.301666667  150.53333333
##  [671,] 147.30   152.4125  143.97292 147.34875  -3.375833333  147.74583333
##  [672,] 142.15   148.5125  139.35104 143.01562  -3.664583333  143.97291667
##  [673,] 149.88   147.3075  141.05646 143.55687  -2.500416667  139.35104167
##  [674,] 142.10   145.3575  140.29083 142.31750  -2.026666667  141.05645833
##  [675,] 137.40   142.8825  137.66167 139.75000  -2.088333333  140.29083333
##  [676,] 146.60   143.9950  142.51062 143.10437  -0.593750000  137.66166667
##  [677,] 146.85   143.2375  142.18646 142.60687  -0.420416667  142.51062500
##  [678,] 147.35   144.5500  146.02292 145.43375   0.589166667  142.18645833
##  [679,] 153.35   148.5375  154.30000 151.99500   2.305000000  146.02291667
##  [680,] 155.68   150.8075  157.51479 154.83187   2.682916667  154.30000000
##  [681,] 148.30   151.1700  155.17625 153.57375   1.602500000  157.51479167
##  [682,] 147.95   151.3200  152.75542 152.18125   0.574166667  155.17625000
##  [683,] 141.05   148.2450  144.67729 146.10437  -1.427083333  152.75541667
##  [684,] 136.95   143.5625  135.20937 138.55062  -3.341250000  144.67729167
##  [685,] 143.10   142.2625  135.45417 138.17750  -2.723333333  135.20937500
##  [686,] 142.90   141.0000  136.38750 138.23250  -1.845000000  135.45416667
##  [687,] 143.35   141.5750  140.70000 141.05000  -0.350000000  136.38750000
##  [688,] 136.50   141.4625  141.27500 141.35000  -0.075000000  140.70000000
##  [689,] 135.30   139.5125  137.22083 138.13750  -0.916666667  141.27500000
##  [690,] 137.15   138.0750  134.60625 135.99375  -1.387500000  137.22083333
##  [691,] 140.15   137.2750  134.26458 135.46875  -1.204166667  134.60625000
##  [692,] 135.25   136.9625  135.30625 135.96875  -0.662500000  134.26458333
##  [693,] 141.65   138.5500  139.94062 139.38437   0.556250000  135.30625000
##  [694,] 133.90   137.7375  137.91458 137.84375   0.070833333  139.94062500
##  [695,] 140.30   137.7750  137.80625 137.79375   0.012500000  137.91458333
##  [696,] 143.80   139.9125  142.27708 141.33125   0.945833333  137.80625000
##  [697,] 135.60   138.4000  138.30625 138.34375  -0.037500000  142.27708333
##  [698,] 127.25   136.7375  134.28958 135.26875  -0.979166667  138.30625000
##  [699,] 127.05   133.4250  127.26875 129.73125  -2.462500000  134.28958333
##  [700,] 126.95   129.2125  120.49375 123.98125  -3.487500000  127.26875000
##  [701,] 122.25   125.8750  116.81250 120.43750  -3.625000000  120.49375000
##  [702,] 118.70   123.7375  116.52917 119.41250  -2.883333333  116.81250000
##  [703,] 120.00   121.9750  116.60000 118.75000  -2.150000000  116.52916667
##  [704,] 120.95   120.4750  116.24062 117.93437  -1.693750000  116.60000000
##  [705,] 119.15   119.7000  116.74687 117.92812  -1.181250000  116.24062500
##  [706,] 122.60   120.6750  120.62292 120.64375  -0.020833333  116.74687500
##  [707,] 122.25   121.2375  122.43021 121.95312   0.477083333  120.62291667
##  [708,] 118.25   120.5625  120.59375 120.58125   0.012500000  122.43020833
##  [709,] 122.90   121.5000  122.34375 122.00625   0.337500000  120.59375000
##  [710,] 120.50   120.9750  120.81875 120.88125  -0.062500000  122.34375000
##  [711,] 113.05   118.6750  115.75312 116.92187  -1.168750000  120.81875000
##  [712,] 112.10   117.1375  113.08021 114.70312  -1.622916667  115.75312500
##  [713,] 113.95   114.9000  109.86354 111.87812  -2.014583333  113.08020833
##  [714,] 115.55   113.6625  109.61042 111.23125  -1.620833333  109.86354167
##  [715,] 114.65   114.0625  112.59896 113.18437  -0.585416667  109.61041667
##  [716,] 113.70   114.4625  114.78021 114.65312   0.127083333  112.59895833
##  [717,] 114.40   114.5750  115.21562 114.95937   0.256250000  114.78020833
##  [718,] 116.70   114.8625  115.48229 115.23437   0.247916667  115.21562500
##  [719,] 114.65   114.8625  115.14896 115.03437   0.114583333  115.48229167
##  [720,] 109.10   113.7125  112.39479 112.92187  -0.527083333  115.14895833
##  [721,] 105.55   111.5000  107.77604 109.26562  -1.489583333  112.39479167
##  [722,] 104.05   108.3375  102.06146 104.57187  -2.510416667  107.77604167
##  [723,] 105.75   106.1125   99.77396 102.30937  -2.535416667  102.06145833
##  [724,] 107.28   105.6575  101.91687 103.41312  -1.496250000   99.77395833
##  [725,] 110.25   106.8325  106.99500 106.93000   0.065000000  101.91687500
##  [726,] 105.80   107.2700  108.60646 108.07187   0.534583333  106.99500000
##  [727,] 114.50   109.4575  113.04604 111.61062   1.435416667  108.60645833
##  [728,] 115.30   111.4625  115.97396 114.16937   1.804583333  113.04604167
##  [729,] 116.35   112.9875  117.47604 115.68062   1.795416667  115.97395833
##  [730,] 116.35   115.6250  121.02812 118.86687   2.161250000  117.47604167
##  [731,] 120.65   117.1625  121.91771 120.01562   1.902083333  121.02812500
##  [732,] 117.15   117.6250  120.58333 119.40000   1.183333333  121.91770833
##  [733,] 114.40   117.1375  117.55417 117.38750   0.166666667  120.58333333
##  [734,] 125.20   119.3500  121.90208 120.88125   1.020833333  117.55416667
##  [735,] 135.70   123.1125  129.45625 126.91875   2.537500000  121.90208333
##  [736,] 139.90   128.8000  139.96667 135.50000   4.466666667  129.45625000
##  [737,] 168.55   142.3375  165.56667 156.27500   9.291666667  139.96666667
##  [738,] 179.80   155.9875  186.70104 174.41562  12.285416667  165.56666667
##  [739,] 196.05   171.0750  206.95000 192.60000  14.350000000  186.70104167
##  [740,] 197.85   185.5625  221.93229 207.38437  14.547916667  206.95000000
##  [741,] 171.15   186.2125  205.38437 197.71562   7.668750000  221.93229167
##  [742,] 180.60   186.4125  193.24062 190.50937   2.731250000  205.38437500
##  [743,] 185.00   183.6500  180.63437 181.84062  -1.206250000  193.24062500
##  [744,] 201.20   184.4875  183.31562 183.78437  -0.468750000  180.63437500
##  [745,] 201.20   192.0000  200.93750 197.36250   3.575000000  183.31562500
##  [746,] 204.75   198.0375  212.19375 206.53125   5.662500000  200.93750000
##  [747,] 200.60   201.9375  214.97396 209.75937   5.214583333  212.19375000
##  [748,] 184.85   197.8500  198.50625 198.24375   0.262500000  214.97395833
##  [749,] 182.50   193.1750  185.55000 188.60000  -3.050000000  198.50625000
##  [750,] 181.90   187.4625  174.72292 179.81875  -5.095833333  185.55000000
##  [751,] 177.50   181.6875  167.76042 173.33125  -5.570833333  174.72291667
##  [752,] 172.10   178.5000  167.32292 171.79375  -4.470833333  167.76041667
##  [753,] 173.70   176.3000  168.48750 171.61250  -3.125000000  167.32291667
##  [754,] 173.25   174.1375  168.27292 170.61875  -2.345833333  168.48750000
##  [755,] 170.45   172.3750  167.45312 169.42187  -1.968750000  168.27291667
##  [756,] 172.02   172.3550  169.96021 170.91812  -0.957916667  167.45312500
##  [757,] 158.95   168.6675  163.30708 165.45125  -2.144166667  169.96020833
##  [758,] 170.70   168.0300  164.15187 165.70312  -1.551250000  163.30708333
##  [759,] 179.15   170.2050  170.85604 170.59562   0.260416667  164.15187500
##  [760,] 192.13   175.2325  183.06375 179.93125   3.132500000  170.85604167
##  [761,] 180.85   180.7075  192.64708 187.87125   4.775833333  183.06375000
##  [762,] 188.75   185.2200  197.51792 192.59875   4.919166667  192.64708333
##  [763,] 181.60   185.8325  192.63979 189.91687   2.722916667  197.51791667
##  [764,] 195.75   186.7375  190.25937 188.85062   1.408750000  192.63979167
##  [765,] 192.85   189.7375  194.49687 192.59312   1.903750000  190.25937500
##  [766,] 179.65   187.4625  187.49583 187.48250   0.013333333  194.49687500
##  [767,] 178.00   186.5625  184.79167 185.50000  -0.708333333  187.49583333
##  [768,] 186.05   184.1375  179.40833 181.30000  -1.891666667  184.79166667
##  [769,] 206.50   187.5500  189.41979 188.67187   0.747916667  179.40833333
##  [770,] 220.40   197.7375  212.30521 206.47812   5.827083333  189.41979167
##  [771,] 210.65   205.9000  226.01458 217.96875   8.045833333  212.30520833
##  [772,] 191.50   207.2625  220.01250 214.91250   5.100000000  226.01458333
##  [773,] 188.00   202.6375  201.39271 201.89062  -0.497916667  220.01250000
##  [774,] 182.40   193.1375  177.97604 184.04062  -6.064583333  201.39270833
##  [775,] 192.00   188.4750  172.80312 179.07187  -6.268750000  177.97604167
##  [776,] 189.65   188.0125  179.59062 182.95937  -3.368750000  172.80312500
##  [777,] 187.48   187.8825  185.39187 186.38812  -0.996250000  179.59062500
##  [778,] 181.10   187.5575  186.85021 187.13312  -0.282916667  185.39187500
##  [779,] 174.13   183.0900  177.18062 179.54437  -2.363750000  186.85020833
##  [780,] 174.88   179.3975  170.92354 174.31312  -3.389583333  177.18062500
##  [781,] 169.07   174.7950  164.10333 168.38000  -4.276666667  170.92354167
##  [782,] 161.05   169.7825  158.14292 162.79875  -4.655833333  164.10333333
##  [783,] 180.05   171.2625  167.01771 168.71562  -1.697916667  158.14291667
##  [784,] 171.00   170.2925  168.22479 169.05187  -0.827083333  167.01770833
##  [785,] 162.45   168.6375  166.37708 167.28125  -0.904166667  168.22479167
##  [786,] 161.90   168.8500  167.33229 167.93937  -0.607083333  166.37708333
##  [787,] 166.85   165.5500  160.91250 162.76750  -1.855000000  167.33229167
##  [788,] 163.20   163.6000  158.50104 160.54062  -2.039583333  160.91250000
##  [789,] 148.65   160.1500  152.83750 155.76250  -2.925000000  158.50104167
##  [790,] 136.75   153.8625  142.31562 146.93437  -4.618750000  152.83750000
##  [791,] 136.50   146.2750  130.11354 136.57812  -6.464583333  142.31562500
##  [792,] 126.45   137.0875  116.66042 124.83125  -8.170833333  130.11354167
##  [793,] 143.35   135.7625  123.28854 128.27812  -4.989583333  116.66041667
##  [794,] 138.20   136.1250  131.64583 133.43750  -1.791666667  123.28854167
##  [795,] 140.90   137.2250  138.35000 137.90000   0.450000000  131.64583333
##  [796,] 135.10   139.3875  143.15833 141.65000   1.508333333  138.35000000
##  [797,] 138.70   138.2250  139.03229 138.70937   0.322916667  143.15833333
##  [798,] 141.15   138.9625  139.81667 139.47500   0.341666667  139.03229167
##  [799,] 133.45   137.1000  134.90208 135.78125  -0.879166667  139.81666667
##  [800,] 132.90   136.5500  134.61771 135.39062  -0.772916667  134.90208333
##  [801,] 137.20   136.1750  134.47187 135.15312  -0.681250000  134.61770833
##  [802,] 126.95   132.6250  127.64583 129.63750  -1.991666667  134.47187500
##  [803,] 126.15   130.8000  125.40417 127.56250  -2.158333333  127.64583333
##  [804,] 135.10   131.3500  129.03750 129.96250  -0.925000000  125.40416667
##  [805,] 132.05   130.0625  128.15104 128.91562  -0.764583333  129.03750000
##  [806,] 127.15   130.1125  129.33125 129.64375  -0.312500000  128.15104167
##  [807,] 131.70   131.5000  132.73958 132.24375   0.495833333  129.33125000
##  [808,] 125.60   129.1250  127.33333 128.05000  -0.716666667  132.73958333
##  [809,] 122.95   126.8500  122.60521 124.30312  -1.697916667  127.33333333
##  [810,] 127.00   126.8125  123.88021 125.05312  -1.172916667  122.60520833
##  [811,] 122.25   124.4500  120.51771 122.09062  -1.572916667  123.88020833
##  [812,] 125.25   124.3625  122.26875 123.10625  -0.837500000  120.51770833
##  [813,] 127.80   125.5750  126.03333 125.85000   0.183333333  122.26875000
##  [814,] 137.50   128.2000  132.45521 130.75312   1.702083333  126.03333333
##  [815,] 121.90   128.1125  130.69583 129.66250   1.033333333  132.45520833
##  [816,] 120.45   126.9125  126.43333 126.62500  -0.191666667  130.69583333
##  [817,] 115.85   123.9250  119.15417 121.06250  -1.908333333  126.43333333
##  [818,] 113.35   117.8875  107.35104 111.56562  -4.214583333  119.15416667
##  [819,] 113.35   115.7500  106.80208 110.38125  -3.579166667  107.35104167
##  [820,] 122.70   116.3125  112.71875 114.15625  -1.437500000  106.80208333
##  [821,] 124.30   118.4250  120.64375 119.75625   0.887500000  112.71875000
##  [822,] 131.60   122.9875  130.68542 127.60625   3.079166667  120.64375000
##  [823,] 125.85   126.1125  134.70104 131.26562   3.435416667  130.68541667
##  [824,] 118.45   125.0500  128.22708 126.95625   1.270833333  134.70104167
##  [825,] 120.95   124.2125  123.58229 123.83437  -0.252083333  128.22708333
##  [826,] 117.75   120.7500  115.28125 117.46875  -2.187500000  123.58229167
##  [827,] 112.15   117.3250  109.80937 112.81562  -3.006250000  115.28125000
##  [828,] 121.90   118.1875  114.96875 116.25625  -1.287500000  109.80937500
##  [829,] 121.00   118.2000  117.50729 117.78437  -0.277083333  114.96875000
##  [830,] 124.00   119.7625  122.08542 121.15625   0.929166667  117.50729167
##  [831,] 118.10   121.2500  124.41667 123.15000   1.266666667  122.08541667
##  [832,] 118.45   120.3875  121.20000 120.87500   0.325000000  124.41666667
##  [833,] 119.70   120.0625  119.55729 119.75937  -0.202083333  121.20000000
##  [834,] 126.70   120.7375  120.95104 120.86562   0.085416667  119.55729167
##  [835,] 119.00   120.9625  121.67083 121.38750   0.283333333  120.95104167
##  [836,] 114.90   120.0750  119.43437 119.69062  -0.256250000  121.67083333
##  [837,] 116.00   119.1500  117.34792 118.06875  -0.720833333  119.43437500
##  [838,] 116.35   116.5625  112.18750 113.93750  -1.750000000  117.34791667
##  [839,] 120.40   116.9125  114.80833 115.65000  -0.841666667  112.18750000
##  [840,] 115.55   117.0750  116.49167 116.72500  -0.233333333  114.80833333
##  [841,] 115.75   117.0125  117.21562 117.13437   0.081250000  116.49166667
##  [842,] 113.00   116.1750  115.14375 115.55625  -0.412500000  117.21562500
##  [843,] 118.80   115.7750  114.55104 115.04062  -0.489583333  115.14375000
##  [844,] 124.40   117.9875  120.07083 119.23750   0.833333333  114.55104167
##  [845,] 133.85   122.5125  129.84583 126.91250   2.933333333  120.07083333
##  [846,] 127.55   126.1500  135.38958 131.69375   3.695833333  129.84583333
##  [847,] 127.25   128.2625  135.81979 132.79687   3.022916667  135.38958333
##  [848,] 120.45   127.2750  129.31667 128.50000   0.816666667  135.81979167
##  [849,] 122.95   124.5500  121.20104 122.54062  -1.339583333  129.31666667
##  [850,] 122.75   123.3500  119.16771 120.84062  -1.672916667  121.20104167
##  [851,] 120.85   121.7500  117.61458 119.26875  -1.654166667  119.16770833
##  [852,] 123.45   122.5000  121.60417 121.96250  -0.358333333  117.61458333
##  [853,] 128.80   123.9625  125.74896 125.03437   0.714583333  121.60416667
##  [854,] 124.70   124.4500  126.59062 125.73437   0.856250000  125.74895833
##  [855,] 121.30   124.5625  125.71875 125.25625   0.462500000  126.59062500
##  [856,] 127.10   125.4750  126.91250 126.33750   0.575000000  125.71875000
##  [857,] 136.95   127.5125  130.86667 129.52500   1.341666667  126.91250000
##  [858,] 140.75   131.5250  138.61875 135.78125   2.837500000  130.86666667
##  [859,] 134.35   134.7875  143.05833 139.75000   3.308333333  138.61875000
##  [860,] 144.85   139.2250  149.16250 145.18750   3.975000000  143.05833333
##  [861,] 142.75   140.6750  147.54479 144.79687   2.747916667  149.16250000
##  [862,] 145.70   141.9125  146.51667 144.67500   1.841666667  147.54479167
##  [863,] 141.90   143.8000  147.79479 146.19687   1.597916667  146.51666667
##  [864,] 146.20   144.1375  146.64792 145.64375   1.004166667  147.79479167
##  [865,] 142.50   144.0750  145.06458 144.66875   0.395833333  146.64791667
##  [866,] 136.85   141.8625  139.18542 140.25625  -1.070833333  145.06458333
##  [867,] 138.80   141.0875  138.24896 139.38437  -1.135416667  139.18541667
##  [868,] 143.90   140.5125  138.22604 139.14062  -0.914583333  138.24895833
##  [869,] 150.10   142.4125  143.98542 143.35625   0.629166667  138.22604167
##  [870,] 149.95   145.6875  151.12500 148.95000   2.175000000  143.98541667
##  [871,] 147.10   147.7625  153.87708 151.43125   2.445833333  151.12500000
##  [872,] 151.40   149.6375  155.07500 152.90000   2.175000000  153.87708333
##  [873,] 151.55   150.0000  152.88021 151.72812   1.152083333  155.07500000
##  [874,] 148.00   149.5125  149.98646 149.79687   0.189583333  152.88020833
##  [875,] 155.40   151.5875  153.92604 152.99062   0.935416667  149.98645833
##  [876,] 156.10   152.7625  155.75729 154.55937   1.197916667  153.92604167
##  [877,] 165.50   156.2500  162.45312 159.97187   2.481250000  155.75729167
##  [878,] 171.35   162.0875  172.78021 168.50312   4.277083333  162.45312500
##  [879,] 159.45   163.1000  170.68333 167.65000   3.033333333  172.78020833
##  [880,] 157.85   163.5375  167.36042 165.83125   1.529166667  170.68333333
##  [881,] 152.30   160.2375  156.89896 158.23437  -1.335416667  167.36041667
##  [882,] 141.20   152.7000  140.71042 145.50625  -4.795833333  156.89895833
##  [883,] 135.55   146.7250  131.60000 137.65000  -6.050000000  140.71041667
##  [884,] 138.20   141.8125  127.55208 133.25625  -5.704166667  131.60000000
##  [885,] 136.15   137.7750  126.14479 130.79687  -4.652083333  127.55208333
##  [886,] 137.05   136.7375  130.02917 132.71250  -2.683333333  126.14479167
##  [887,] 142.85   138.5625  138.29687 138.40312  -0.106250000  130.02916667
##  [888,] 149.30   141.3375  145.89479 144.07187   1.822916667  138.29687500
##  [889,] 153.20   145.6000  154.00104 150.64062   3.360416667  145.89479167
##  [890,] 152.40   149.4375  158.94271 155.14062   3.802083333  154.00104167
##  [891,] 146.25   150.2875  156.32396 153.90937   2.414583333  158.94270833
##  [892,] 145.75   149.4000  150.59792 150.11875   0.479166667  156.32395833
##  [893,] 147.80   148.0500  145.97708 146.80625  -0.829166667  150.59791667
##  [894,] 144.40   146.0500  142.05521 143.65312  -1.597916667  145.97708333
##  [895,] 141.25   144.8000  141.00833 142.52500  -1.516666667  142.05520833
##  [896,] 139.65   143.2750  139.49375 141.00625  -1.512500000  141.00833333
##  [897,] 140.80   141.5250  137.54583 139.13750  -1.591666667  139.49375000
##  [898,] 137.60   139.8250  135.60625 137.29375  -1.687500000  137.54583333
##  [899,] 139.30   139.3375  136.58229 137.68437  -1.102083333  135.60625000
##  [900,] 140.05   139.4375  138.44792 138.84375  -0.395833333  136.58229167
##  [901,] 138.90   138.9625  138.24896 138.53437  -0.285416667  138.44791667
##  [902,] 129.85   137.0250  134.24896 135.35937  -1.110416667  138.24895833
##  [903,] 131.05   134.9625  130.57187 132.32812  -1.756250000  134.24895833
##  [904,] 133.10   133.2250  128.52708 130.40625  -1.879166667  130.57187500
##  [905,] 132.60   131.6500  127.37396 129.08437  -1.710416667  128.52708333
##  [906,] 132.10   132.2125  130.87917 131.41250  -0.533333333  127.37395833
##  [907,] 131.20   132.2500  132.10937 132.16562  -0.056250000  130.87916667
##  [908,] 125.55   130.3625  128.26875 129.10625  -0.837500000  132.10937500
##  [909,] 126.55   128.8500  125.40208 126.78125  -1.379166667  128.26875000
##  [910,] 123.55   126.7125  121.99375 123.88125  -1.887500000  125.40208333
##  [911,] 119.95   123.9000  117.97292 120.34375  -2.370833333  121.99375000
##  [912,] 124.05   123.5250  119.82187 121.30312  -1.481250000  117.97291667
##  [913,] 126.55   123.5250  122.04062 122.63437  -0.593750000  119.82187500
##  [914,] 131.70   125.5625  127.95312 126.99687   0.956250000  122.04062500
##  [915,] 136.55   129.7125  136.59792 133.84375   2.754166667  127.95312500
##  [916,] 137.85   133.1625  141.78229 138.33437   3.447916667  136.59791667
##  [917,] 140.15   136.5625  145.41667 141.87500   3.541666667  141.78229167
##  [918,] 140.30   138.7125  145.67083 142.88750   2.783333333  145.41666667
##  [919,] 128.05   136.5875  137.13958 136.91875   0.220833333  145.67083333
##  [920,] 130.20   134.6750  131.40937 132.71562  -1.306250000  137.13958333
##  [921,] 127.75   131.5750  125.22083 127.76250  -2.541666667  131.40937500
##  [922,] 129.40   128.8500  122.06354 124.77812  -2.714583333  125.22083333
##  [923,] 140.00   131.8375  132.00937 131.94062   0.068750000  122.06354167
##  [924,] 134.45   132.9000  135.58229 134.50937   1.072916667  132.00937500
##  [925,] 128.05   132.9750  135.19896 134.30937   0.889583333  135.58229167
##  [926,] 130.00   133.1250  133.81771 133.54062   0.277083333  135.19895833
##  [927,] 126.45   129.7375  125.65937 127.29062  -1.631250000  133.81770833
##  [928,] 125.25   127.4375  121.80208 124.05625  -2.254166667  125.65937500
##  [929,] 126.60   127.0750  123.29375 124.80625  -1.512500000  121.80208333
##  [930,] 123.95   125.5625  122.41146 123.67187  -1.260416667  123.29375000
##  [931,] 127.55   125.8375  124.76979 125.19687  -0.427083333  122.41145833
##  [932,] 123.80   125.4750  124.62083 124.96250  -0.341666667  124.76979167
##  [933,] 124.80   125.0250  124.27500 124.57500  -0.300000000  124.62083333
##  [934,] 127.55   125.9250  126.52396 126.28437   0.239583333  124.27500000
##  [935,] 120.60   124.1875  122.57812 123.22187  -0.643750000  126.52395833
##  [936,] 116.95   122.4750  119.26146 120.54687  -1.285416667  122.57812500
##  [937,] 120.40   121.3750  117.84896 119.25937  -1.410416667  119.26145833
##  [938,] 126.20   121.0375  118.98542 119.80625  -0.820833333  117.84895833
##  [939,] 128.45   123.0000  124.71354 124.02812   0.685416667  118.98541667
##  [940,] 122.25   124.3250  127.47604 126.21562   1.260416667  124.71354167
##  [941,] 121.25   124.5375  126.72500 125.85000   0.875000000  127.47604167
##  [942,] 125.15   124.2750  124.67604 124.51562   0.160416667  126.72500000
##  [943,] 120.40   122.2625  119.61667 120.67500  -1.058333333  124.67604167
##  [944,] 121.85   122.1625  120.25104 121.01562  -0.764583333  119.61666667
##  [945,] 117.95   121.3375  119.38437 120.16562  -0.781250000  120.25104167
##  [946,] 119.45   119.9125  117.40208 118.40625  -1.004166667  119.38437500
##  [947,]     NA         NA         NA        NA            NA  117.40208333
##  [948,]     NA         NA         NA        NA            NA  116.39791667
##  [949,]     NA         NA         NA        NA            NA  115.39375000
##  [950,]     NA         NA         NA        NA            NA  114.38958333
##  [951,]     NA         NA         NA        NA            NA  113.38541667
##  [952,]     NA         NA         NA        NA            NA  112.38125000
##  [953,]     NA         NA         NA        NA            NA  111.37708333
##  [954,]     NA         NA  107.10729        NA            NA  110.37291667
##  [955,]     NA         NA   99.40312        NA            NA  109.36875000
##  [956,]     NA         NA   97.35937        NA            NA  108.36458333
##  [957,]     NA         NA   99.10625        NA            NA  107.36041667
##  [958,]     NA         NA  102.94687        NA            NA  106.35625000
##  [959,]     NA         NA  106.37812        NA            NA  105.35208333
##  [960,]     NA         NA  105.65312        NA            NA  104.34791667
##  [961,]     NA         NA  101.42396        NA            NA  103.34375000
##  [962,]     NA         NA   94.15000        NA            NA  102.33958333
##  [963,]     NA         NA   93.25833        NA            NA  101.33541667
##  [964,]     NA         NA   91.17396        NA            NA  100.33125000
##  [965,]     NA         NA   92.46562        NA            NA   99.32708333
##  [966,]     NA         NA   93.71146        NA            NA   98.32291667
##  [967,]     NA         NA   95.07396        NA            NA   97.31875000
##  [968,]     NA         NA   97.62187        NA            NA   96.31458333
##  [969,]     NA         NA   96.55208        NA            NA   95.31041667
##  [970,]     NA         NA   96.28854        NA            NA   94.30625000
##  [971,]     NA         NA   89.99375        NA            NA   93.30208333
##  [972,]     NA         NA   84.40417        NA            NA   92.29791667
##  [973,]     NA         NA   80.76042        NA            NA   91.29375000
##  [974,]     NA         NA   78.03958        NA            NA   90.28958333
##  [975,]     NA         NA   82.63958        NA            NA   89.28541667
##  [976,]     NA         NA   90.10729        NA            NA   88.28125000
##  [977,]     NA         NA   91.49479        NA            NA   87.27708333
##  [978,]     NA         NA   92.73125        NA            NA   86.27291667
##  [979,]     NA         NA   86.18437        NA            NA   85.26875000
##  [980,]     NA         NA   76.03854        NA            NA   84.26458333
##  [981,]     NA         NA   72.89687        NA            NA   83.26041667
##  [982,]     NA         NA   70.72604        NA            NA   82.25625000
##  [983,]     NA         NA   72.90833        NA            NA   81.25208333
##  [984,]     NA         NA   74.14687        NA            NA   80.24791667
##  [985,]     NA         NA   75.95417        NA            NA   79.24375000
##  [986,]     NA         NA   80.99062        NA            NA   78.23958333
##  [987,]     NA         NA   81.50833        NA            NA   77.23541667
##  [988,]     NA         NA   83.13542        NA            NA   76.23125000
##  [989,]     NA         NA   85.04792        NA            NA   75.22708333
##  [990,]     NA         NA   79.53125        NA            NA   74.22291667
##  [991,]     NA         NA   75.87083        NA            NA   73.21875000
##  [992,]     NA         NA   72.72917        NA            NA   72.21458333
##  [993,]     NA         NA   66.05312        NA            NA   71.21041667
##  [994,]     NA         NA   64.90000        NA            NA   70.20625000
##  [995,]     NA         NA   64.29167        NA            NA   69.20208333
##  [996,]     NA         NA   61.45833        NA            NA   68.19791667
##  [997,]     NA         NA   60.82187        NA            NA   67.19375000
##  [998,]     NA         NA   61.56042        NA            NA   66.18958333
##  [999,]     NA         NA   62.72917        NA            NA   65.18541667
## [1000,]     NA         NA   64.16458        NA            NA   64.18125000
## [1001,]     NA         NA   65.72604        NA            NA   63.17708333
## [1002,]     NA         NA   67.21667        NA            NA   62.17291667
## [1003,]     NA         NA   67.49479        NA            NA   61.16875000
## [1004,]     NA         NA   66.16562        NA            NA   60.16458333
## [1005,]     NA         NA   64.50000        NA            NA   59.16041667
## [1006,]     NA         NA   59.92187        NA            NA   58.15625000
## [1007,]     NA         NA   59.96250        NA            NA   57.15208333
## [1008,]     NA         NA   61.37292        NA            NA   56.14791667
## [1009,]     NA         NA   61.93750        NA            NA   55.14375000
## [1010,]     NA         NA   61.80000        NA            NA   54.13958333
## [1011,]     NA         NA   59.24375        NA            NA   53.13541667
## [1012,]     NA         NA   58.24375        NA            NA   52.13125000
## [1013,]     NA         NA   57.11979        NA            NA   51.12708333
## [1014,]     NA         NA   57.52500        NA            NA   50.12291667
## [1015,]     NA         NA   56.69896        NA            NA   49.11875000
## [1016,]     NA         NA   57.89271        NA            NA   48.11458333
## [1017,]     NA         NA   61.40000        NA            NA   47.11041667
## [1018,]     NA         NA   65.19583        NA            NA   46.10625000
## [1019,]     NA         NA   67.52500        NA            NA   45.10208333
## [1020,]     NA         NA   64.89792        NA            NA   44.09791667
## [1021,]     NA         NA   60.31458        NA            NA   43.09375000
## [1022,]     NA         NA   56.50521        NA            NA   42.08958333
## [1023,]     NA         NA   55.44687        NA            NA   41.08541667
## [1024,]     NA         NA   54.96250        NA            NA   40.08125000
## [1025,]     NA         NA   55.53333        NA            NA   39.07708333
## [1026,]     NA         NA   54.17708        NA            NA   38.07291667
## [1027,]     NA         NA   51.09479        NA            NA   37.06875000
## [1028,]     NA         NA   51.28646        NA            NA   36.06458333
## [1029,]     NA         NA   50.02396        NA            NA   35.06041667
## [1030,]     NA         NA   49.57292        NA            NA   34.05625000
## [1031,]     NA         NA   48.60312        NA            NA   33.05208333
## [1032,]     NA         NA   50.18021        NA            NA   32.04791667
## [1033,]     NA         NA   50.66042        NA            NA   31.04375000
## [1034,]     NA         NA   51.07083        NA            NA   30.03958333
## [1035,]     NA         NA   51.09062        NA            NA   29.03541667
## [1036,]     NA         NA   48.12500        NA            NA   28.03125000
## [1037,]     NA         NA   47.16562        NA            NA   27.02708333
## [1038,]     NA         NA   45.81771        NA            NA   26.02291667
## [1039,]     NA         NA   44.90937        NA            NA   25.01875000
## [1040,]     NA         NA   43.05729        NA            NA   24.01458333
## [1041,]     NA         NA   41.63958        NA            NA   23.01041667
## [1042,]     NA         NA   42.38437        NA            NA   22.00625000
## [1043,]     NA         NA   43.56667        NA            NA   21.00208333
## [1044,]     NA         NA   46.90729        NA            NA   19.99791667
## [1045,]     NA         NA   48.22500        NA            NA   18.99375000
## [1046,]     NA         NA   45.83750        NA            NA   17.98958333
## [1047,]     NA         NA   44.36042        NA            NA   16.98541667
## [1048,]     NA         NA   41.78854        NA            NA   15.98125000
## [1049,]     NA         NA   42.90312        NA            NA   14.97708333
## [1050,]     NA         NA   45.58437        NA            NA   13.97291667
## [1051,]     NA         NA   48.81042        NA            NA   12.96875000
## [1052,]     NA         NA   51.06562        NA            NA   11.96458333
## [1053,]     NA         NA   49.93542        NA            NA   10.96041667
## [1054,]     NA         NA   48.51146        NA            NA    9.95625000
## [1055,]     NA         NA   46.12187        NA            NA    8.95208333
## [1056,]     NA         NA   43.58542        NA            NA    7.94791667
## [1057,]     NA         NA   42.60417        NA            NA    6.94375000
## [1058,]     NA         NA   44.97292        NA            NA    5.93958333
## [1059,]     NA         NA   45.84375        NA            NA    4.93541667
## [1060,]     NA         NA   48.12083        NA            NA    3.93125000
## [1061,]     NA         NA   53.44479        NA            NA    2.92708333
## [1062,]     NA         NA   55.43125        NA            NA    1.92291667
## [1063,]     NA         NA   59.64375        NA            NA    0.91875000
## [1064,]     NA         NA   60.38021        NA            NA   -0.08541667
## [1065,]     NA         NA   56.98750        NA            NA   -1.08958333
## [1066,]     NA         NA   54.58125        NA            NA   -2.09375000
## [1067,]     NA         NA   49.97187        NA            NA   -3.09791667
## [1068,]     NA         NA   47.66979        NA            NA   -4.10208333
## [1069,]     NA         NA   46.00000        NA            NA   -5.10625000
## [1070,]     NA         NA   45.38437        NA            NA   -6.11041667
## [1071,]     NA         NA   48.04375        NA            NA   -7.11458333
## [1072,]     NA         NA   50.57604        NA            NA   -8.11875000
## [1073,]     NA         NA   51.50937        NA            NA   -9.12291667
## [1074,]     NA         NA   49.76146        NA            NA  -10.12708333
## [1075,]     NA         NA   47.07187        NA            NA  -11.13125000
## [1076,]     NA         NA   44.51354        NA            NA  -12.13541667
## [1077,]     NA         NA   45.16458        NA            NA  -13.13958333
## [1078,]     NA         NA   48.19167        NA            NA  -14.14375000
## [1079,]     NA         NA   48.64479        NA            NA  -15.14791667
## [1080,]     NA         NA   49.43750        NA            NA  -16.15208333
## [1081,]     NA         NA   48.83125        NA            NA  -17.15625000
## [1082,]     NA         NA   47.31875        NA            NA  -18.16041667
## [1083,]     NA         NA   47.11250        NA            NA  -19.16458333
## [1084,]     NA         NA   47.85417        NA            NA  -20.16875000
## [1085,]     NA         NA   49.96979        NA            NA  -21.17291667
## [1086,]     NA         NA   54.05104        NA            NA  -22.17708333
## [1087,]     NA         NA   60.04167        NA            NA  -23.18125000
## [1088,]     NA         NA   61.36875        NA            NA  -24.18541667
## [1089,]     NA         NA   60.81771        NA            NA  -25.18958333
## [1090,]     NA         NA   58.60937        NA            NA  -26.19375000
## [1091,]     NA         NA   56.03333        NA            NA  -27.19791667
## [1092,]     NA         NA   59.48854        NA            NA  -28.20208333
## [1093,]     NA         NA   66.26562        NA            NA  -29.20625000
## [1094,]     NA         NA   68.99479        NA            NA  -30.21041667
## [1095,]     NA         NA   72.04167        NA            NA  -31.21458333
## [1096,]     NA         NA   70.90833        NA            NA  -32.21875000
## [1097,]     NA         NA   67.60104        NA            NA  -33.22291667
## [1098,]     NA         NA   67.75625        NA            NA  -34.22708333
## [1099,]     NA         NA   64.76875        NA            NA  -35.23125000
## [1100,]     NA         NA   59.77187        NA            NA  -36.23541667
## [1101,]     NA         NA   58.37187        NA            NA  -37.23958333
## [1102,]     NA         NA   57.35625        NA            NA  -38.24375000
## [1103,]     NA         NA   58.16771        NA            NA  -39.24791667
## [1104,]     NA         NA   64.03021        NA            NA  -40.25208333
## [1105,]     NA         NA   66.22500        NA            NA  -41.25625000
## [1106,]     NA         NA   68.71667        NA            NA  -42.26041667
## [1107,]     NA         NA   69.06250        NA            NA  -43.26458333
## [1108,]     NA         NA   67.98437        NA            NA  -44.26875000
## [1109,]     NA         NA   64.80312        NA            NA  -45.27291667
## [1110,]     NA         NA   61.27500        NA            NA  -46.27708333
## [1111,]     NA         NA   57.44896        NA            NA  -47.28125000
## [1112,]     NA         NA   55.31250        NA            NA  -48.28541667
## [1113,]     NA         NA   54.78333        NA            NA  -49.28958333
## [1114,]     NA         NA   56.75521        NA            NA  -50.29375000
## [1115,]     NA         NA   58.83437        NA            NA  -51.29791667
## [1116,]     NA         NA   60.44479        NA            NA  -52.30208333
## [1117,]     NA         NA   61.65312        NA            NA  -53.30625000
## [1118,]     NA         NA   61.64375        NA            NA  -54.31041667
## [1119,]     NA         NA   64.10729        NA            NA  -55.31458333
## [1120,]     NA         NA   66.61562        NA            NA  -56.31875000
## [1121,]     NA         NA   69.35521        NA            NA  -57.32291667
## [1122,]     NA         NA   68.64687        NA            NA  -58.32708333
## [1123,]     NA         NA   68.08021        NA            NA  -59.33125000
## [1124,]     NA         NA   62.02708        NA            NA  -60.33541667
## [1125,]     NA         NA   57.82708        NA            NA  -61.33958333
## [1126,]     NA         NA   57.03229        NA            NA  -62.34375000
## [1127,]     NA         NA   53.83542        NA            NA  -63.34791667
## [1128,]     NA         NA   56.16562        NA            NA  -64.35208333
## [1129,]     NA         NA   58.21667        NA            NA  -65.35625000
## [1130,]     NA         NA   58.92812        NA            NA  -66.36041667
## [1131,]     NA         NA   62.35521        NA            NA  -67.36458333
## [1132,]     NA         NA   62.99896        NA            NA  -68.36875000
## [1133,]     NA         NA   64.68333        NA            NA  -69.37291667
## [1134,]     NA         NA   65.27187        NA            NA  -70.37708333
## [1135,]     NA         NA   62.94062        NA            NA  -71.38125000
## [1136,]     NA         NA   62.02187        NA            NA  -72.38541667
## [1137,]     NA         NA   59.91875        NA            NA  -73.38958333
## [1138,]     NA         NA   61.05833        NA            NA  -74.39375000
## [1139,]     NA         NA   66.09896        NA            NA  -75.39791667
## [1140,]     NA         NA   67.03437        NA            NA  -76.40208333
## [1141,]     NA         NA   66.86354        NA            NA  -77.40625000
## [1142,]     NA         NA   65.82396        NA            NA  -78.41041667
## [1143,]     NA         NA   61.20937        NA            NA  -79.41458333
## [1144,]     NA         NA   60.30312        NA            NA  -80.41875000
## [1145,]     NA         NA   61.12083        NA            NA  -81.42291667
## [1146,]     NA         NA   58.53437        NA            NA  -82.42708333
## [1147,]     NA         NA   59.01458        NA            NA  -83.43125000
## [1148,]     NA         NA   59.23854        NA            NA  -84.43541667
## [1149,]     NA         NA   56.47500        NA            NA  -85.43958333
## [1150,]     NA         NA   56.83333        NA            NA  -86.44375000
## [1151,]     NA         NA   58.57500        NA            NA  -87.44791667
## [1152,]     NA         NA   61.14792        NA            NA  -88.45208333
## [1153,]     NA         NA   65.01875        NA            NA  -89.45625000
## [1154,]     NA         NA   66.78958        NA            NA  -90.46041667
## [1155,]     NA         NA   66.77083        NA            NA  -91.46458333
## [1156,]     NA         NA   68.34583        NA            NA  -92.46875000
## [1157,]     NA         NA   70.70417        NA            NA  -93.47291667
## [1158,]     NA         NA   75.36875        NA            NA  -94.47708333
## [1159,]     NA         NA   78.81875        NA            NA  -95.48125000
## [1160,]     NA         NA   77.52708        NA            NA  -96.48541667
## [1161,]     NA         NA   76.55208        NA            NA  -97.48958333
## [1162,]     NA         NA   72.50937        NA            NA  -98.49375000
## [1163,]     NA         NA   72.07917        NA            NA  -99.49791667
## [1164,]     NA         NA   72.96458        NA            NA -100.50208333
## [1165,]     NA         NA   73.67917        NA            NA -101.50625000
## [1166,]     NA         NA   76.48125        NA            NA -102.51041667
## [1167,]     NA         NA   73.99271        NA            NA -103.51458333
## [1168,]     NA         NA   73.89792        NA            NA -104.51875000
## [1169,]     NA         NA   72.45625        NA            NA -105.52291667
## [1170,]     NA         NA   69.86771        NA            NA -106.52708333
## [1171,]     NA         NA   68.37292        NA            NA -107.53125000
## [1172,]     NA         NA   66.06562        NA            NA -108.53541667
## [1173,]     NA         NA   65.20312        NA            NA -109.53958333
## [1174,]     NA         NA   66.93125        NA            NA -110.54375000
## [1175,]     NA         NA   70.48437        NA            NA -111.54791667
## [1176,]     NA         NA   80.80312        NA            NA -112.55208333
## [1177,]     NA         NA   86.77292        NA            NA -113.55625000
## [1178,]     NA         NA   90.07396        NA            NA -114.56041667
## [1179,]     NA         NA   87.15104        NA            NA -115.56458333
## [1180,]     NA         NA   76.06458        NA            NA -116.56875000
## [1181,]     NA         NA   68.54583        NA            NA -117.57291667
## [1182,]     NA         NA   62.89896        NA            NA -118.57708333

Hasil pemulusan menggunakan metode DMA divisualisasikan sebagai berikut

ts.plot(data.ts, xlab="Date", ylab="Price", main= "DMA N=4 Data Harga Kopi Per Minggu")
points(data.ts)
lines(data.gab2[,3],col="green",lwd=2)
lines(data.gab2[,6],col="red",lwd=2)
legend("topleft",c("data aktual","data pemulusan","data peramalan"), lty=8, col=c("black","green","red"), cex=0.8)

Selanjutnya perhitungan akurasi dilakukan baik pada data latih maupun data uji. Perhitungan akurasi dilakukan dengan ukuran akurasi SSE, MSE dan MAPE.

#Menghitung nilai keakuratan data latih

error_train.dma = train_ma.ts-data.ramal2[1:length(train_ma.ts)]
SSE_train.dma = sum(error_train.dma[8:length(train_ma.ts)]^2)
MSE_train.dma = mean(error_train.dma[8:length(train_ma.ts)]^2)
MAPE_train.dma = mean(abs((error_train.dma[8:length(train_ma.ts)]/train_ma.ts[8:length(train_ma.ts)])*2360))

akurasi_train.dma <- matrix(c(SSE_train.dma, MSE_train.dma, MAPE_train.dma))
row.names(akurasi_train.dma)<- c("SSE", "MSE", "MAPE")
colnames(akurasi_train.dma) <- c("Akurasi m = 4")
akurasi_train.dma
##      Akurasi m = 4
## SSE    71170.46458
## MSE       75.79389
## MAPE     115.25634

Perhitungan akurasi pada data latih menggunakan nilai MAPE menghasilkan nilai MAPE yang kurang dari 236% sehingga dikategorikan sangat baik. Selanjutnya, perhitungan nilai akurasi dilakukan pada data uji.

#Menghitung nilai keakuratan data uji

error_test.dma = test_ma.ts-data.gab2[947:1182,6]
SSE_test.dma = sum(error_test.dma^2)
MSE_test.dma = mean(error_test.dma^2)
MAPE_test.dma = mean(abs((error_test.dma/test_ma.ts*2360)))

akurasi_test.dma <- matrix(c(SSE_test.dma, MSE_test.dma, MAPE_test.dma))
row.names(akurasi_test.dma)<- c("SSE", "MSE", "MAPE")
colnames(akurasi_test.dma) <- c("Akurasi m = 4")
akurasi_test.dma
##      Akurasi m = 4
## SSE    7541835.086
## MSE      31956.928
## MAPE      2086.835

Perhitungan akurasi menggunakan data latih menghasilkan nilai MAPE yang kurang dari 236% sehingga nilai akurasi ini dapat dikategorikan sebagai sangat baik.

Pada data latih, metode SMA lebih baik dibandingkan dengan metode DMA, sedangkan pada data uji, metode DMA lebih baik dibandingkan SMA

Single Exponential Smoothing & Double Exponential Smoothing

Pembagian Data

Pembagian data latih dan data uji dilakukan dengan perbandingan 80% data latih dan 20% data uji.

#membagi training dan testing

training<-data[1:946,]
training
## # A tibble: 946 × 2
##    Date                Price
##    <dttm>              <dbl>
##  1 2000-01-07 00:00:00 114. 
##  2 2000-01-14 00:00:00 113. 
##  3 2000-01-21 00:00:00 111. 
##  4 2000-01-28 00:00:00 115. 
##  5 2000-02-04 00:00:00 113. 
##  6 2000-02-11 00:00:00 109. 
##  7 2000-02-18 00:00:00 104. 
##  8 2000-02-25 00:00:00  98.8
##  9 2000-03-03 00:00:00 104. 
## 10 2000-03-10 00:00:00 106. 
## # ℹ 936 more rows
testing<-data[947:1182,]
testing
## # A tibble: 236 × 2
##    Date                Price
##    <dttm>              <dbl>
##  1 2018-03-02 00:00:00  120.
##  2 2018-03-09 00:00:00  119.
##  3 2018-03-16 00:00:00  117.
##  4 2018-03-23 00:00:00  117.
##  5 2018-03-29 00:00:00  118.
##  6 2018-04-06 00:00:00  117.
##  7 2018-04-13 00:00:00  117.
##  8 2018-04-20 00:00:00  116.
##  9 2018-04-27 00:00:00  120.
## 10 2018-05-04 00:00:00  120.
## # ℹ 226 more rows
train.ts <- ts(training$Price)
train.ts
## Time Series:
## Start = 1 
## End = 946 
## Frequency = 1 
##   [1] 114.15 112.55 111.20 114.70 112.90 108.80 104.30  98.80 104.35 106.10
##  [11] 106.10 103.15 103.70  99.60  92.65  97.75  95.30  96.85  91.80  97.95
##  [21]  99.20  95.55  91.85  87.25  87.05  84.85  80.80  89.15  96.65  87.40
##  [31]  85.60  80.65  78.40  77.75  75.00  77.40  76.25  78.00  83.00  79.45
##  [41]  81.05  84.15  75.60  73.60  74.15  68.55  68.30  67.00  63.65  62.90
##  [51]  65.40  65.55  64.35  65.00  68.30  67.10  63.20  62.65  59.80  64.95
##  [61]  63.30  61.70  59.00  60.10  60.30  58.10  57.60  57.15  60.95  63.65
##  [71]  64.95  63.80  59.90  57.90  58.15  59.40  55.90  56.10  53.85  52.05
##  [81]  53.75  51.30  50.40  48.40  54.35  50.95  50.50  48.50  49.05  48.30
##  [91]  46.65  44.70  43.85  43.40  45.40  44.70  48.65  46.40  42.60  43.00
## [101]  43.80  46.65  46.20  48.55  49.55  47.40  45.90  45.45  44.55  44.10
## [111]  48.00  45.85  48.45  54.75  54.30  57.20  55.00  53.20  53.05  49.70
## [121]  49.00  47.50  48.40  51.40  51.90  49.15  46.45  47.10  46.50  48.15
## [131]  49.85  47.35  48.40  48.10  47.55  46.90  49.20  51.50  55.50  59.80
## [141]  56.05  55.65  56.00  57.35  62.60  68.55  64.00  67.85  66.40  66.80
## [151]  66.60  63.40  56.85  62.20  61.35  61.25  65.05  66.25  67.65  65.30
## [161]  65.80  62.65  61.60  56.85  58.65  57.70  61.30  58.25  60.80  60.45
## [171]  62.45  63.75  67.00  67.70  64.70  65.65  58.35  59.40  60.50  56.05
## [181]  58.40  60.50  60.20  62.30  60.85  65.05  63.70  60.10  60.30  61.45
## [191]  64.55  68.45  63.00  63.35  65.10  61.20  60.50  63.10  58.65  60.35
## [201]  59.50  56.65  57.75  61.90  63.00  64.30  63.25  64.95  68.80  71.15
## [211]  74.45  75.50  71.80  74.00  70.30  75.05  73.05  74.65  75.55  71.95
## [221]  73.40  72.55  70.05  67.95  67.15  68.10  70.40  72.35  85.55  83.00
## [231]  83.25  75.70  71.60  70.05  68.85  69.75  69.85  66.45  67.05  65.60
## [241]  66.55  70.00  68.30  70.40  75.35  83.00  80.15  77.20  74.65  75.10
## [251]  74.40  78.30  80.50  87.25  88.90  94.90  94.80 102.30 105.10 103.75
## [261]  96.25 100.10 103.25 105.30 110.50 113.45 118.05 115.25 121.85 134.45
## [271] 131.60 120.90 123.95 116.85 112.55 124.80 125.15 121.90 119.00 117.00
## [281] 121.90 125.55 113.00 107.60 105.45 102.10 104.15 103.25  99.45 103.15
## [291] 105.35 104.90  96.10  91.65 100.00  92.20  88.20  89.00  93.45  94.85
## [301]  99.65 103.45  98.35 103.90 106.95  96.80  97.40  90.75  92.75  94.35
## [311] 102.60 107.10 119.55 119.95 118.40 124.30 117.60 115.10 109.45 110.95
## [321] 112.10 105.70 103.65 105.30 107.00 108.35 105.25 112.00 107.20 106.50
## [331] 101.80 100.65  98.10 101.25  95.90  95.25  95.30  99.50  98.40  97.00
## [341]  95.60  99.40 105.45 104.30 103.25 106.20 103.40 102.45  98.65 104.45
## [351] 107.65 103.90 104.05 102.05 108.00 112.45 115.85 113.10 115.55 123.20
## [361] 121.85 121.55 125.40 126.20 120.45 120.30 119.70 116.30 118.35 114.75
## [371] 113.20 119.25 114.35 111.50 109.45 113.35 109.25 110.85 112.85 107.70
## [381] 103.75 103.00 102.80 109.50 112.90 117.40 114.85 114.70 113.60 111.00
## [391] 107.25 107.75 114.00 112.70 117.65 120.60 115.55 114.65 112.65 113.75
## [401] 118.05 129.90 128.65 137.00 139.30 125.00 121.45 118.90 121.75 124.90
## [411] 123.45 125.95 127.75 130.75 134.20 133.10 132.70 136.30 133.10 131.45
## [421] 139.10 147.20 149.85 160.15 164.60 148.75 150.05 130.90 130.40 131.90
## [431] 130.85 135.25 130.45 128.55 136.00 138.00 134.00 133.90 135.85 134.40
## [441] 143.95 150.15 149.55 140.05 135.65 137.30 140.15 135.80 132.85 140.25
## [451] 141.90 138.85 135.10 133.10 134.15 122.05 115.35 115.60 108.65 113.00
## [461] 112.10 110.95 108.95 114.10 101.60 109.85 110.95 108.40 110.90 116.90
## [471] 115.80 119.65 118.90 119.55 112.35 108.90 109.45 105.30 108.30 116.20
## [481] 115.85 118.40 119.30 111.85 119.00 119.85 125.70 127.55 135.00 137.40
## [491] 133.85 129.55 116.70 116.75 115.05 112.30 116.25 123.95 127.85 137.90
## [501] 128.95 123.70 121.10 122.85 125.30 134.80 127.70 129.70 135.65 142.88
## [511] 136.20 135.38 138.23 131.10 135.50 138.43 141.15 143.05 145.50 139.80
## [521] 135.93 145.35 140.75 139.60 131.95 128.80 132.75 134.75 129.05 128.00
## [531] 130.15 130.30 135.85 137.40 132.70 129.10 131.80 135.20 133.00 134.25
## [541] 132.40 134.25 133.75 144.95 160.25 167.00 164.05 163.23 166.55 165.28
## [551] 175.33 167.80 176.25 186.28 179.68 186.20 189.85 187.85 180.60 181.10
## [561] 182.15 186.40 198.85 203.45 205.15 200.45 209.85 202.15 204.50 208.98
## [571] 225.25 236.67 240.50 230.70 234.60 240.32 245.00 249.30 251.95 271.65
## [581] 267.70 272.90 273.70 276.80 268.60 259.90 274.95 288.10 294.25 299.35
## [591] 287.05 269.30 259.15 263.70 270.95 264.95 249.55 249.00 263.45 263.15
## [601] 252.55 241.50 239.55 238.00 240.35 266.15 278.90 289.20 271.25 263.00
## [611] 231.45 228.90 224.35 239.55 244.85 235.15 230.20 233.95 234.20 229.60
## [621] 227.15 227.05 210.95 217.88 226.85 221.75 225.25 225.40 217.35 215.95
## [631] 215.30 200.05 203.25 201.65 185.60 181.35 178.75 182.45 183.00 179.20
## [641] 177.70 175.00 173.50 176.55 177.70 167.80 157.50 155.60 150.05 155.15
## [651] 170.85 175.90 184.45 186.95 173.70 173.80 166.25 160.30 163.15 164.55
## [661] 162.70 180.80 173.30 173.50 167.77 162.35 161.65 157.75 154.70 149.90
## [671] 147.30 142.15 149.88 142.10 137.40 146.60 146.85 147.35 153.35 155.68
## [681] 148.30 147.95 141.05 136.95 143.10 142.90 143.35 136.50 135.30 137.15
## [691] 140.15 135.25 141.65 133.90 140.30 143.80 135.60 127.25 127.05 126.95
## [701] 122.25 118.70 120.00 120.95 119.15 122.60 122.25 118.25 122.90 120.50
## [711] 113.05 112.10 113.95 115.55 114.65 113.70 114.40 116.70 114.65 109.10
## [721] 105.55 104.05 105.75 107.28 110.25 105.80 114.50 115.30 116.35 116.35
## [731] 120.65 117.15 114.40 125.20 135.70 139.90 168.55 179.80 196.05 197.85
## [741] 171.15 180.60 185.00 201.20 201.20 204.75 200.60 184.85 182.50 181.90
## [751] 177.50 172.10 173.70 173.25 170.45 172.02 158.95 170.70 179.15 192.13
## [761] 180.85 188.75 181.60 195.75 192.85 179.65 178.00 186.05 206.50 220.40
## [771] 210.65 191.50 188.00 182.40 192.00 189.65 187.48 181.10 174.13 174.88
## [781] 169.07 161.05 180.05 171.00 162.45 161.90 166.85 163.20 148.65 136.75
## [791] 136.50 126.45 143.35 138.20 140.90 135.10 138.70 141.15 133.45 132.90
## [801] 137.20 126.95 126.15 135.10 132.05 127.15 131.70 125.60 122.95 127.00
## [811] 122.25 125.25 127.80 137.50 121.90 120.45 115.85 113.35 113.35 122.70
## [821] 124.30 131.60 125.85 118.45 120.95 117.75 112.15 121.90 121.00 124.00
## [831] 118.10 118.45 119.70 126.70 119.00 114.90 116.00 116.35 120.40 115.55
## [841] 115.75 113.00 118.80 124.40 133.85 127.55 127.25 120.45 122.95 122.75
## [851] 120.85 123.45 128.80 124.70 121.30 127.10 136.95 140.75 134.35 144.85
## [861] 142.75 145.70 141.90 146.20 142.50 136.85 138.80 143.90 150.10 149.95
## [871] 147.10 151.40 151.55 148.00 155.40 156.10 165.50 171.35 159.45 157.85
## [881] 152.30 141.20 135.55 138.20 136.15 137.05 142.85 149.30 153.20 152.40
## [891] 146.25 145.75 147.80 144.40 141.25 139.65 140.80 137.60 139.30 140.05
## [901] 138.90 129.85 131.05 133.10 132.60 132.10 131.20 125.55 126.55 123.55
## [911] 119.95 124.05 126.55 131.70 136.55 137.85 140.15 140.30 128.05 130.20
## [921] 127.75 129.40 140.00 134.45 128.05 130.00 126.45 125.25 126.60 123.95
## [931] 127.55 123.80 124.80 127.55 120.60 116.95 120.40 126.20 128.45 122.25
## [941] 121.25 125.15 120.40 121.85 117.95 119.45
test.ts <- ts(testing$Price)
test.ts
## Time Series:
## Start = 1 
## End = 236 
## Frequency = 1 
##   [1] 120.35 118.85 116.95 117.20 118.15 117.45 117.30 115.75 120.35 120.45
##  [11] 115.25 113.95 120.40 122.75 117.25 115.20 113.85 111.50 111.25 107.05
##  [21] 110.65 110.45 107.75 107.00 101.20 100.55  98.10  98.80  95.45  99.90
##  [31] 102.45 108.95 116.55 122.10 119.65 120.05 113.85 112.60 107.15 103.25
##  [41]  98.80  96.95  99.70 100.95 101.60 103.85 104.95 106.80 103.70 102.60
##  [51]  97.95  96.45  96.95  95.30  94.60  93.90  94.50  93.20  90.40  90.20
##  [61]  92.70  89.25  89.45  87.35  93.30 104.60 100.95  96.00  99.80 108.25
##  [71] 109.45 105.20 105.85  99.75  98.15  97.30  92.85  92.60  93.60  93.85
##  [81]  99.50  98.40 100.90  99.00  93.70  95.70  99.45 104.00 109.45 106.15
##  [91] 114.60 118.55 123.70 129.45 130.70 132.50 126.35 118.95 112.15 110.15
## [101] 102.65  98.35 109.10 108.85 110.10 105.60 107.05 119.70 115.85 114.90
## [111] 118.60 116.05 105.20 104.45 110.10 104.80 103.60  96.30  98.90  95.20
## [121]  93.75  95.65 102.25  96.15 101.05 108.40 118.95 115.45 114.70 120.10
## [131] 127.10 134.80 133.35 113.60 113.65 108.95 111.55 107.25 105.60 104.40
## [141] 106.95 109.25 115.50 121.70 115.35 119.10 123.70 125.95 128.25 123.70
## [151] 128.15 124.05 122.95 124.50 121.15 127.50 136.85 128.75 132.45 125.45
## [161] 128.50 121.60 127.25 129.15 136.85 139.95 152.30 144.25 150.10 162.35
## [171] 161.65 157.45 149.90 157.25 152.55 151.30 161.20 189.00 179.55 176.00
## [181] 182.75 178.25 189.50 190.55 185.60 187.30 194.35 204.05 201.35 203.40
## [191] 199.85 203.95 203.55 219.70 233.30 243.85 244.05 232.70 235.90 231.20
## [201] 226.10 238.45 239.65 237.90 235.90 241.85 251.65 246.85 240.05 224.15
## [211] 222.95 220.30 221.85 228.40 231.65 223.60 227.30 222.55 210.45 212.90
## [221] 215.85 229.45 232.40 228.90 227.65 226.60 228.45 222.90 203.70 206.70
## [231] 217.20 209.45 226.60 215.95 242.00 228.42

Eksplorasi

Eksplorasi dilakukan dengan membuat plot data deret waktu untuk keseluruhan data, data latih, dan data uji.

#eksplorasi data

plot(data.ts, col="black",main="Plot semua data")
points(data.ts)

plot(train.ts, col="red",main="Plot data latih")
points(train.ts)

plot(test.ts, col="blue",main="Plot data uji")
points(test.ts)

#Eksplorasi dengan GGPLOT

library(ggplot2)
ggplot() + 
  geom_line(data = training, aes(x = Date, y = Price, col = "Data Latih")) +
  geom_line(data = testing, aes(x = Date, y = Price, col = "Data Uji")) +
  labs(x = "Date", y = "Price", color = "Legend") +
  scale_colour_manual(name="Keterangan:", breaks = c("Data Latih", "Data Uji"),
                      values = c("blue", "red")) + 
  theme_bw() + theme(legend.position = "bottom",
                     plot.caption = element_text(hjust=0.5, size=12))

SES

#Cara 1 (fungsi ses)
ses.1 <- ses(train.ts, h = 236, alpha = 0.2)
plot(ses.1)

ses.1
##      Point Forecast     Lo 80    Hi 80     Lo 95    Hi 95
##  947       121.4478 109.55854 133.3370 103.26476 139.6308
##  948       121.4478 109.32308 133.5725 102.90466 139.9909
##  949       121.4478 109.09211 133.8034 102.55143 140.3441
##  950       121.4478 108.86539 134.0302 102.20468 140.6909
##  951       121.4478 108.64267 134.2529 101.86406 141.0315
##  952       121.4478 108.42377 134.4718 101.52928 141.3663
##  953       121.4478 108.20848 134.6871 101.20002 141.6955
##  954       121.4478 107.99664 134.8989 100.87604 142.0195
##  955       121.4478 107.78808 135.1075 100.55708 142.3385
##  956       121.4478 107.58266 135.3129 100.24291 142.6526
##  957       121.4478 107.38024 135.5153  99.93334 142.9622
##  958       121.4478 107.18069 135.7148  99.62815 143.2674
##  959       121.4478 106.98389 135.9116  99.32718 143.5684
##  960       121.4478 106.78974 136.1058  99.03024 143.8653
##  961       121.4478 106.59812 136.2974  98.73719 144.1583
##  962       121.4478 106.40895 136.4866  98.44787 144.4477
##  963       121.4478 106.22212 136.6734  98.16215 144.7334
##  964       121.4478 106.03756 136.8580  97.87989 145.0156
##  965       121.4478 105.85519 137.0404  97.60097 145.2946
##  966       121.4478 105.67492 137.2206  97.32528 145.5703
##  967       121.4478 105.49669 137.3988  97.05270 145.8428
##  968       121.4478 105.32043 137.5751  96.78313 146.1124
##  969       121.4478 105.14607 137.7495  96.51648 146.3791
##  970       121.4478 104.97356 137.9220  96.25265 146.6429
##  971       121.4478 104.80284 138.0927  95.99155 146.9040
##  972       121.4478 104.63385 138.2617  95.73310 147.1624
##  973       121.4478 104.46655 138.4290  95.47723 147.4183
##  974       121.4478 104.30087 138.5947  95.22385 147.6717
##  975       121.4478 104.13678 138.7588  94.97290 147.9226
##  976       121.4478 103.97424 138.9213  94.72431 148.1712
##  977       121.4478 103.81319 139.0824  94.47800 148.4175
##  978       121.4478 103.65359 139.2419  94.23393 148.6616
##  979       121.4478 103.49542 139.4001  93.99202 148.9035
##  980       121.4478 103.33863 139.5569  93.75223 149.1433
##  981       121.4478 103.18318 139.7124  93.51449 149.3810
##  982       121.4478 103.02905 139.8665  93.27877 149.6168
##  983       121.4478 102.87619 140.0193  93.04499 149.8505
##  984       121.4478 102.72459 140.1710  92.81313 150.0824
##  985       121.4478 102.57420 140.3213  92.58313 150.3124
##  986       121.4478 102.42500 140.4705  92.35495 150.5406
##  987       121.4478 102.27696 140.6186  92.12854 150.7670
##  988       121.4478 102.13005 140.7655  91.90387 150.9917
##  989       121.4478 101.98425 140.9113  91.68089 151.2146
##  990       121.4478 101.83954 141.0560  91.45957 151.4360
##  991       121.4478 101.69589 141.1996  91.23988 151.6557
##  992       121.4478 101.55328 141.3423  91.02177 151.8738
##  993       121.4478 101.41168 141.4839  90.80521 152.0903
##  994       121.4478 101.27107 141.6245  90.59017 152.3054
##  995       121.4478 101.13144 141.7641  90.37662 152.5189
##  996       121.4478 100.99276 141.9028  90.16453 152.7310
##  997       121.4478 100.85501 142.0405  89.95387 152.9417
##  998       121.4478 100.71818 142.1774  89.74460 153.1509
##  999       121.4478 100.58225 142.3133  89.53671 153.3588
## 1000       121.4478 100.44720 142.4483  89.33016 153.5654
## 1001       121.4478 100.31301 142.5825  89.12494 153.7706
## 1002       121.4478 100.17966 142.7159  88.92101 153.9745
## 1003       121.4478 100.04715 142.8484  88.71834 154.1772
## 1004       121.4478  99.91545 142.9801  88.51693 154.3786
## 1005       121.4478  99.78455 143.1110  88.31674 154.5788
## 1006       121.4478  99.65444 143.2411  88.11775 154.7778
## 1007       121.4478  99.52511 143.3704  87.91995 154.9756
## 1008       121.4478  99.39653 143.4990  87.72330 155.1722
## 1009       121.4478  99.26869 143.6268  87.52780 155.3677
## 1010       121.4478  99.14159 143.7539  87.33341 155.5621
## 1011       121.4478  99.01521 143.8803  87.14013 155.7554
## 1012       121.4478  98.88953 144.0060  86.94793 155.9476
## 1013       121.4478  98.76456 144.1310  86.75679 156.1387
## 1014       121.4478  98.64026 144.2553  86.56670 156.3288
## 1015       121.4478  98.51665 144.3789  86.37764 156.5179
## 1016       121.4478  98.39369 144.5018  86.18960 156.7059
## 1017       121.4478  98.27139 144.6242  86.00255 156.8930
## 1018       121.4478  98.14972 144.7458  85.81648 157.0791
## 1019       121.4478  98.02869 144.8668  85.63139 157.2642
## 1020       121.4478  97.90829 144.9872  85.44724 157.4483
## 1021       121.4478  97.78849 145.1070  85.26403 157.6315
## 1022       121.4478  97.66930 145.2262  85.08174 157.8138
## 1023       121.4478  97.55071 145.3448  84.90036 157.9952
## 1024       121.4478  97.43269 145.4628  84.71988 158.1757
## 1025       121.4478  97.31526 145.5803  84.54028 158.3553
## 1026       121.4478  97.19840 145.6971  84.36155 158.5340
## 1027       121.4478  97.08209 145.8134  84.18368 158.7119
## 1028       121.4478  96.96634 145.9292  84.00665 158.8889
## 1029       121.4478  96.85113 146.0444  83.83046 159.0651
## 1030       121.4478  96.73646 146.1591  83.65509 159.2405
## 1031       121.4478  96.62232 146.2732  83.48052 159.4150
## 1032       121.4478  96.50870 146.3868  83.30676 159.5888
## 1033       121.4478  96.39560 146.4999  83.13378 159.7618
## 1034       121.4478  96.28300 146.6125  82.96158 159.9340
## 1035       121.4478  96.17091 146.7246  82.79015 160.1054
## 1036       121.4478  96.05931 146.8362  82.61948 160.2761
## 1037       121.4478  95.94820 146.9473  82.44955 160.4460
## 1038       121.4478  95.83758 147.0580  82.28036 160.6152
## 1039       121.4478  95.72742 147.1681  82.11190 160.7836
## 1040       121.4478  95.61774 147.2778  81.94415 160.9514
## 1041       121.4478  95.50852 147.3870  81.77712 161.1184
## 1042       121.4478  95.39976 147.4958  81.61078 161.2848
## 1043       121.4478  95.29146 147.6041  81.44514 161.4504
## 1044       121.4478  95.18359 147.7119  81.28018 161.6154
## 1045       121.4478  95.07617 147.8194  81.11589 161.7796
## 1046       121.4478  94.96919 147.9263  80.95228 161.9433
## 1047       121.4478  94.86263 148.0329  80.78931 162.1062
## 1048       121.4478  94.75651 148.1390  80.62701 162.2685
## 1049       121.4478  94.65080 148.2447  80.46534 162.4302
## 1050       121.4478  94.54550 148.3500  80.30431 162.5912
## 1051       121.4478  94.44062 148.4549  80.14390 162.7516
## 1052       121.4478  94.33615 148.5594  79.98412 162.9114
## 1053       121.4478  94.23207 148.6635  79.82495 163.0706
## 1054       121.4478  94.12839 148.7671  79.66639 163.2292
## 1055       121.4478  94.02510 148.8704  79.50842 163.3871
## 1056       121.4478  93.92220 148.9733  79.35105 163.5445
## 1057       121.4478  93.81969 149.0759  79.19426 163.7013
## 1058       121.4478  93.71755 149.1780  79.03806 163.8575
## 1059       121.4478  93.61579 149.2798  78.88243 164.0131
## 1060       121.4478  93.51440 149.3811  78.72736 164.1682
## 1061       121.4478  93.41337 149.4822  78.57286 164.3227
## 1062       121.4478  93.31271 149.5828  78.41891 164.4766
## 1063       121.4478  93.21240 149.6831  78.26550 164.6300
## 1064       121.4478  93.11246 149.7831  78.11265 164.7829
## 1065       121.4478  93.01286 149.8827  77.96033 164.9352
## 1066       121.4478  92.91361 149.9819  77.80854 165.0870
## 1067       121.4478  92.81470 150.0808  77.65727 165.2383
## 1068       121.4478  92.71614 150.1794  77.50653 165.3890
## 1069       121.4478  92.61791 150.2776  77.35630 165.5392
## 1070       121.4478  92.52002 150.3755  77.20659 165.6889
## 1071       121.4478  92.42245 150.4731  77.05738 165.8382
## 1072       121.4478  92.32521 150.5703  76.90866 165.9869
## 1073       121.4478  92.22830 150.6672  76.76045 166.1351
## 1074       121.4478  92.13171 150.7638  76.61272 166.2828
## 1075       121.4478  92.03543 150.8601  76.46548 166.4301
## 1076       121.4478  91.93947 150.9561  76.31872 166.5768
## 1077       121.4478  91.84382 151.0517  76.17243 166.7231
## 1078       121.4478  91.74847 151.1471  76.02662 166.8689
## 1079       121.4478  91.65344 151.2421  75.88127 167.0143
## 1080       121.4478  91.55870 151.3368  75.73638 167.1592
## 1081       121.4478  91.46426 151.4313  75.59195 167.3036
## 1082       121.4478  91.37012 151.5254  75.44798 167.4476
## 1083       121.4478  91.27628 151.6193  75.30445 167.5911
## 1084       121.4478  91.18272 151.7128  75.16137 167.7342
## 1085       121.4478  91.08945 151.8061  75.01873 167.8768
## 1086       121.4478  90.99647 151.8991  74.87653 168.0190
## 1087       121.4478  90.90378 151.9918  74.73476 168.1608
## 1088       121.4478  90.81136 152.0842  74.59342 168.3021
## 1089       121.4478  90.71922 152.1763  74.45251 168.4430
## 1090       121.4478  90.62735 152.2682  74.31201 168.5835
## 1091       121.4478  90.53576 152.3598  74.17193 168.7236
## 1092       121.4478  90.44444 152.4511  74.03227 168.8633
## 1093       121.4478  90.35339 152.5421  73.89302 169.0025
## 1094       121.4478  90.26260 152.6329  73.75417 169.1414
## 1095       121.4478  90.17208 152.7235  73.61573 169.2798
## 1096       121.4478  90.08182 152.8137  73.47768 169.4179
## 1097       121.4478  89.99181 152.9037  73.34004 169.5555
## 1098       121.4478  89.90207 152.9935  73.20278 169.6928
## 1099       121.4478  89.81258 153.0830  73.06592 169.8296
## 1100       121.4478  89.72334 153.1722  72.92944 169.9661
## 1101       121.4478  89.63435 153.2612  72.79334 170.1022
## 1102       121.4478  89.54561 153.3499  72.65762 170.2379
## 1103       121.4478  89.45711 153.4384  72.52228 170.3733
## 1104       121.4478  89.36886 153.5267  72.38732 170.5082
## 1105       121.4478  89.28086 153.6147  72.25272 170.6428
## 1106       121.4478  89.19309 153.7025  72.11849 170.7770
## 1107       121.4478  89.10556 153.7900  71.98462 170.9109
## 1108       121.4478  89.01826 153.8773  71.85112 171.0444
## 1109       121.4478  88.93120 153.9643  71.71798 171.1776
## 1110       121.4478  88.84438 154.0512  71.58519 171.3104
## 1111       121.4478  88.75778 154.1378  71.45275 171.4428
## 1112       121.4478  88.67141 154.2241  71.32066 171.5749
## 1113       121.4478  88.58527 154.3103  71.18892 171.7066
## 1114       121.4478  88.49936 154.3962  71.05752 171.8380
## 1115       121.4478  88.41367 154.4819  70.92647 171.9691
## 1116       121.4478  88.32820 154.5673  70.79575 172.0998
## 1117       121.4478  88.24295 154.6526  70.66538 172.2302
## 1118       121.4478  88.15792 154.7376  70.53533 172.3602
## 1119       121.4478  88.07310 154.8224  70.40562 172.4899
## 1120       121.4478  87.98850 154.9070  70.27623 172.6193
## 1121       121.4478  87.90411 154.9914  70.14718 172.7484
## 1122       121.4478  87.81994 155.0756  70.01844 172.8771
## 1123       121.4478  87.73597 155.1596  69.89003 173.0055
## 1124       121.4478  87.65222 155.2433  69.76193 173.1336
## 1125       121.4478  87.56867 155.3269  69.63416 173.2614
## 1126       121.4478  87.48533 155.4102  69.50669 173.3888
## 1127       121.4478  87.40219 155.4934  69.37954 173.5160
## 1128       121.4478  87.31925 155.5763  69.25270 173.6428
## 1129       121.4478  87.23651 155.6590  69.12617 173.7694
## 1130       121.4478  87.15398 155.7416  68.99994 173.8956
## 1131       121.4478  87.07164 155.8239  68.87401 174.0215
## 1132       121.4478  86.98950 155.9060  68.74839 174.1471
## 1133       121.4478  86.90755 155.9880  68.62306 174.2725
## 1134       121.4478  86.82580 156.0697  68.49803 174.3975
## 1135       121.4478  86.74424 156.1513  68.37330 174.5222
## 1136       121.4478  86.66287 156.2327  68.24886 174.6467
## 1137       121.4478  86.58169 156.3138  68.12471 174.7708
## 1138       121.4478  86.50070 156.3948  68.00084 174.8947
## 1139       121.4478  86.41990 156.4756  67.87727 175.0183
## 1140       121.4478  86.33928 156.5563  67.75397 175.1416
## 1141       121.4478  86.25885 156.6367  67.63096 175.2646
## 1142       121.4478  86.17860 156.7169  67.50823 175.3873
## 1143       121.4478  86.09854 156.7970  67.38578 175.5098
## 1144       121.4478  86.01865 156.8769  67.26361 175.6319
## 1145       121.4478  85.93895 156.9566  67.14171 175.7538
## 1146       121.4478  85.85942 157.0361  67.02008 175.8755
## 1147       121.4478  85.78007 157.1155  66.89873 175.9968
## 1148       121.4478  85.70089 157.1946  66.77764 176.1179
## 1149       121.4478  85.62190 157.2736  66.65682 176.2387
## 1150       121.4478  85.54307 157.3525  66.53627 176.3593
## 1151       121.4478  85.46442 157.4311  66.41598 176.4796
## 1152       121.4478  85.38594 157.5096  66.29596 176.5996
## 1153       121.4478  85.30763 157.5879  66.17619 176.7193
## 1154       121.4478  85.22949 157.6660  66.05669 176.8389
## 1155       121.4478  85.15151 157.7440  65.93744 176.9581
## 1156       121.4478  85.07371 157.8218  65.81844 177.0771
## 1157       121.4478  84.99607 157.8995  65.69971 177.1958
## 1158       121.4478  84.91859 157.9769  65.58122 177.3143
## 1159       121.4478  84.84128 158.0543  65.46298 177.4326
## 1160       121.4478  84.76414 158.1314  65.34500 177.5505
## 1161       121.4478  84.68715 158.2084  65.22726 177.6683
## 1162       121.4478  84.61033 158.2852  65.10976 177.7858
## 1163       121.4478  84.53366 158.3619  64.99251 177.9030
## 1164       121.4478  84.45716 158.4384  64.87551 178.0200
## 1165       121.4478  84.38081 158.5147  64.75874 178.1368
## 1166       121.4478  84.30462 158.5909  64.64222 178.2533
## 1167       121.4478  84.22858 158.6670  64.52593 178.3696
## 1168       121.4478  84.15270 158.7428  64.40988 178.4857
## 1169       121.4478  84.07697 158.8186  64.29407 178.6015
## 1170       121.4478  84.00140 158.8941  64.17849 178.7170
## 1171       121.4478  83.92598 158.9696  64.06315 178.8324
## 1172       121.4478  83.85071 159.0448  63.94803 178.9475
## 1173       121.4478  83.77559 159.1199  63.83315 179.0624
## 1174       121.4478  83.70062 159.1949  63.71849 179.1770
## 1175       121.4478  83.62580 159.2697  63.60406 179.2915
## 1176       121.4478  83.55113 159.3444  63.48986 179.4057
## 1177       121.4478  83.47660 159.4189  63.37588 179.5197
## 1178       121.4478  83.40222 159.4933  63.26213 179.6334
## 1179       121.4478  83.32799 159.5676  63.14859 179.7469
## 1180       121.4478  83.25390 159.6416  63.03528 179.8603
## 1181       121.4478  83.17995 159.7156  62.92219 179.9733
## 1182       121.4478  83.10614 159.7894  62.80931 180.0862
ses.2<- ses(train.ts, h = 236, alpha = 0.7)
plot(ses.2)

ses.2
##      Point Forecast     Lo 80    Hi 80        Lo 95    Hi 95
##  947       119.3427 111.52034 127.1650 107.37945408 131.3059
##  948       119.3427 109.79430 128.8910 104.73970605 133.9456
##  949       119.3427 108.33568 130.3496 102.50893693 136.1764
##  950       119.3427 107.04892 131.6364 100.54100578 138.1443
##  951       119.3427 105.88463 132.8007  98.76038193 139.9249
##  952       119.3427 104.81335 133.8720  97.12199080 141.5633
##  953       119.3427 103.81580 134.8695  95.59637379 143.0889
##  954       119.3427 102.87858 135.8067  94.16302382 144.5223
##  955       119.3427 101.99191 136.6934  92.80698500 145.8783
##  956       119.3427 101.14841 137.5369  91.51695216 147.1684
##  957       119.3427 100.34231 138.3430  90.28413308 148.4012
##  958       119.3427  99.56905 139.1163  89.10152979 149.5838
##  959       119.3427  98.82491 139.8604  87.96346425 150.7219
##  960       119.3427  98.10683 140.5785  86.86525408 151.8201
##  961       119.3427  97.41224 141.2731  85.80298401 152.8823
##  962       119.3427  96.73900 141.9463  84.77334073 153.9120
##  963       119.3427  96.08523 142.6001  83.77349070 154.9118
##  964       119.3427  95.44935 143.2360  82.80098824 155.8843
##  965       119.3427  94.82995 143.8554  81.85370503 156.8316
##  966       119.3427  94.22582 144.4595  80.92977526 157.7555
##  967       119.3427  93.63589 145.0494  80.02755242 158.6578
##  968       119.3427  93.05920 145.6261  79.14557485 159.5397
##  969       119.3427  92.49489 146.1904  78.28253793 160.4028
##  970       119.3427  91.94220 146.7431  77.43727140 161.2480
##  971       119.3427  91.40044 147.2849  76.60872075 162.0766
##  972       119.3427  90.86899 147.8163  75.79593183 162.8894
##  973       119.3427  90.34727 148.3381  74.99803796 163.6873
##  974       119.3427  89.83478 148.8505  74.21424906 164.4711
##  975       119.3427  89.33104 149.3543  73.44384254 165.2415
##  976       119.3427  88.83561 149.8497  72.68615548 165.9992
##  977       119.3427  88.34810 150.3372  71.94057793 166.7447
##  978       119.3427  87.86815 150.8172  71.20654721 167.4788
##  979       119.3427  87.39540 151.2899  70.48354290 168.2018
##  980       119.3427  86.92955 151.7558  69.77108252 168.9142
##  981       119.3427  86.47030 152.2150  69.06871780 169.6166
##  982       119.3427  86.01737 152.6679  68.37603136 170.3093
##  983       119.3427  85.57052 153.1148  67.69263382 170.9927
##  984       119.3427  85.12951 153.5558  67.01816120 171.6672
##  985       119.3427  84.69411 153.9912  66.35227271 172.3330
##  986       119.3427  84.26411 154.4212  65.69464871 172.9907
##  987       119.3427  83.83932 154.8460  65.04498892 173.6403
##  988       119.3427  83.41955 155.2658  64.40301079 174.2823
##  989       119.3427  83.00464 155.6807  63.76844813 174.9169
##  990       119.3427  82.59440 156.0909  63.14104974 175.5443
##  991       119.3427  82.18870 156.4966  62.52057833 176.1647
##  992       119.3427  81.78738 156.8979  61.90680938 176.7785
##  993       119.3427  81.39030 157.2950  61.29953029 177.3858
##  994       119.3427  80.99733 157.6880  60.69853944 177.9868
##  995       119.3427  80.60835 158.0770  60.10364544 178.5817
##  996       119.3427  80.22324 158.4621  59.51466641 179.1707
##  997       119.3427  79.84188 158.8434  58.93142936 179.7539
##  998       119.3427  79.46417 159.2212  58.35376956 180.3316
##  999       119.3427  79.09000 159.5953  57.78153000 180.9038
## 1000       119.3427  78.71928 159.9660  57.21456090 181.4708
## 1001       119.3427  78.35191 160.3334  56.65271928 182.0326
## 1002       119.3427  77.98781 160.6975  56.09586848 182.5895
## 1003       119.3427  77.62688 161.0584  55.54387782 183.1414
## 1004       119.3427  77.26905 161.4163  54.99662222 183.6887
## 1005       119.3427  76.91423 161.7711  54.45398188 184.2313
## 1006       119.3427  76.56236 162.1230  53.91584196 184.7695
## 1007       119.3427  76.21336 162.4720  53.38209232 185.3032
## 1008       119.3427  75.86716 162.8182  52.85262722 185.8327
## 1009       119.3427  75.52370 163.1616  52.32734511 186.3580
## 1010       119.3427  75.18291 163.5024  51.80614839 186.8792
## 1011       119.3427  74.84473 163.8406  51.28894320 187.3964
## 1012       119.3427  74.50910 164.1762  50.77563921 187.9097
## 1013       119.3427  74.17596 164.5094  50.26614944 188.4192
## 1014       119.3427  73.84526 164.8401  49.76039012 188.9249
## 1015       119.3427  73.51695 165.1684  49.25828049 189.4270
## 1016       119.3427  73.19097 165.4943  48.75974265 189.9256
## 1017       119.3427  72.86728 165.8180  48.26470145 190.4206
## 1018       119.3427  72.54583 166.1395  47.77308432 190.9122
## 1019       119.3427  72.22657 166.4587  47.28482120 191.4005
## 1020       119.3427  71.90946 166.7759  46.79984435 191.8855
## 1021       119.3427  71.59446 167.0909  46.31808829 192.3672
## 1022       119.3427  71.28152 167.4038  45.83948970 192.8458
## 1023       119.3427  70.97061 167.7147  45.36398730 193.3213
## 1024       119.3427  70.66168 168.0236  44.89152177 193.7938
## 1025       119.3427  70.35470 168.3306  44.42203564 194.2633
## 1026       119.3427  70.04963 168.6357  43.95547326 194.7298
## 1027       119.3427  69.74644 168.9389  43.49178067 195.1935
## 1028       119.3427  69.44509 169.2402  43.03090556 195.6544
## 1029       119.3427  69.14554 169.5398  42.57279719 196.1125
## 1030       119.3427  68.84778 169.8375  42.11740632 196.5679
## 1031       119.3427  68.55176 170.1336  41.66468515 197.0206
## 1032       119.3427  68.25746 170.4279  41.21458728 197.4707
## 1033       119.3427  67.96484 170.7205  40.76706762 197.9183
## 1034       119.3427  67.67388 171.0114  40.32208238 198.3632
## 1035       119.3427  67.38455 171.3008  39.87958897 198.8057
## 1036       119.3427  67.09682 171.5885  39.43954599 199.2458
## 1037       119.3427  66.81067 171.8747  39.00191319 199.6834
## 1038       119.3427  66.52607 172.1593  38.56665138 200.1187
## 1039       119.3427  66.24299 172.4423  38.13372244 200.5516
## 1040       119.3427  65.96141 172.7239  37.70308927 200.9822
## 1041       119.3427  65.68132 173.0040  37.27471571 201.4106
## 1042       119.3427  65.40267 173.2826  36.84856657 201.8368
## 1043       119.3427  65.12546 173.5599  36.42460756 202.2607
## 1044       119.3427  64.84966 173.8357  36.00280524 202.6825
## 1045       119.3427  64.57525 174.1101  35.58312704 203.1022
## 1046       119.3427  64.30220 174.3831  35.16554119 203.5198
## 1047       119.3427  64.03050 174.6548  34.75001669 203.9353
## 1048       119.3427  63.76013 174.9252  34.33652332 204.3488
## 1049       119.3427  63.49108 175.1942  33.92503159 204.7603
## 1050       119.3427  63.22330 175.4620  33.51551270 205.1698
## 1051       119.3427  62.95681 175.7285  33.10793855 205.5774
## 1052       119.3427  62.69156 175.9938  32.70228169 205.9830
## 1053       119.3427  62.42755 176.2578  32.29851531 206.3868
## 1054       119.3427  62.16476 176.5206  31.89661323 206.7887
## 1055       119.3427  61.90318 176.7821  31.49654987 207.1888
## 1056       119.3427  61.64277 177.0425  31.09830020 207.5870
## 1057       119.3427  61.38354 177.3018  30.70183980 207.9835
## 1058       119.3427  61.12547 177.5599  30.30714475 208.3782
## 1059       119.3427  60.86853 177.8168  29.91419168 208.7711
## 1060       119.3427  60.61271 178.0726  29.52295772 209.1624
## 1061       119.3427  60.35801 178.3273  29.13342052 209.5519
## 1062       119.3427  60.10440 178.5809  28.74555818 209.9398
## 1063       119.3427  59.85187 178.8335  28.35934929 210.3260
## 1064       119.3427  59.60041 179.0849  27.97477287 210.7105
## 1065       119.3427  59.35000 179.3353  27.59180840 211.0935
## 1066       119.3427  59.10064 179.5847  27.21043578 211.4749
## 1067       119.3427  58.85230 179.8330  26.83063532 211.8547
## 1068       119.3427  58.60498 180.0803  26.45238774 212.2329
## 1069       119.3427  58.35866 180.3267  26.07567414 212.6096
## 1070       119.3427  58.11333 180.5720  25.70047602 212.9848
## 1071       119.3427  57.86898 180.8163  25.32677522 213.3585
## 1072       119.3427  57.62559 181.0597  24.95455396 213.7308
## 1073       119.3427  57.38317 181.3022  24.58379481 214.1015
## 1074       119.3427  57.14169 181.5436  24.21448067 214.4708
## 1075       119.3427  56.90114 181.7842  23.84659478 214.8387
## 1076       119.3427  56.66151 182.0238  23.48012069 215.2052
## 1077       119.3427  56.42280 182.2625  23.11504227 215.5703
## 1078       119.3427  56.18499 182.5003  22.75134370 215.9340
## 1079       119.3427  55.94808 182.7372  22.38900945 216.2963
## 1080       119.3427  55.71204 182.9733  22.02802428 216.6573
## 1081       119.3427  55.47688 183.2084  21.66837323 217.0169
## 1082       119.3427  55.24258 183.4427  21.31004162 217.3753
## 1083       119.3427  55.00913 183.6762  20.95301503 217.7323
## 1084       119.3427  54.77653 183.9088  20.59727931 218.0880
## 1085       119.3427  54.54476 184.1406  20.24282056 218.4425
## 1086       119.3427  54.31382 184.3715  19.88962511 218.7957
## 1087       119.3427  54.08369 184.6016  19.53767957 219.1476
## 1088       119.3427  53.85437 184.8309  19.18697075 219.4984
## 1089       119.3427  53.62586 185.0595  18.83748571 219.8478
## 1090       119.3427  53.39813 185.2872  18.48921172 220.1961
## 1091       119.3427  53.17119 185.5141  18.14213628 220.5432
## 1092       119.3427  52.94503 185.7403  17.79624711 220.8891
## 1093       119.3427  52.71963 185.9657  17.45153212 221.2338
## 1094       119.3427  52.49500 186.1903  17.10797943 221.5773
## 1095       119.3427  52.27111 186.4142  16.76557736 221.9197
## 1096       119.3427  52.04797 186.6373  16.42431444 222.2610
## 1097       119.3427  51.82557 186.8598  16.08417937 222.6011
## 1098       119.3427  51.60390 187.0814  15.74516103 222.9402
## 1099       119.3427  51.38295 187.3024  15.40724850 223.2781
## 1100       119.3427  51.16271 187.5226  15.07043103 223.6149
## 1101       119.3427  50.94319 187.7421  14.73469804 223.9506
## 1102       119.3427  50.72437 187.9610  14.40003913 224.2853
## 1103       119.3427  50.50624 188.1791  14.06644405 224.6189
## 1104       119.3427  50.28881 188.3965  13.73390271 224.9514
## 1105       119.3427  50.07205 188.6133  13.40240520 225.2829
## 1106       119.3427  49.85597 188.8293  13.07194175 225.6134
## 1107       119.3427  49.64056 189.0448  12.74250274 225.9428
## 1108       119.3427  49.42582 189.2595  12.41407870 226.2712
## 1109       119.3427  49.21173 189.4736  12.08666031 226.5987
## 1110       119.3427  48.99830 189.6870  11.76023839 226.9251
## 1111       119.3427  48.78551 189.8998  11.43480389 227.2505
## 1112       119.3427  48.57336 190.1120  11.11034791 227.5750
## 1113       119.3427  48.36184 190.3235  10.78686167 227.8985
## 1114       119.3427  48.15095 190.5344  10.46433653 228.2210
## 1115       119.3427  47.94069 190.7446  10.14276398 228.5426
## 1116       119.3427  47.73104 190.9543   9.82213561 228.8632
## 1117       119.3427  47.52200 191.1633   9.50244317 229.1829
## 1118       119.3427  47.31357 191.3717   9.18367851 229.5016
## 1119       119.3427  47.10575 191.5796   8.86583359 229.8195
## 1120       119.3427  46.89851 191.7868   8.54890050 230.1364
## 1121       119.3427  46.69187 191.9934   8.23287144 230.4524
## 1122       119.3427  46.48582 192.1995   7.91773871 230.7676
## 1123       119.3427  46.28035 192.4050   7.60349473 231.0818
## 1124       119.3427  46.07545 192.6099   7.29013203 231.3952
## 1125       119.3427  45.87112 192.8142   6.97764322 231.7077
## 1126       119.3427  45.66737 193.0180   6.66602104 232.0193
## 1127       119.3427  45.46417 193.2212   6.35525833 232.3301
## 1128       119.3427  45.26153 193.4238   6.04534800 232.6400
## 1129       119.3427  45.05944 193.6259   5.73628308 232.9490
## 1130       119.3427  44.85790 193.8274   5.42805668 233.2573
## 1131       119.3427  44.65691 194.0284   5.12066204 233.5647
## 1132       119.3427  44.45646 194.2289   4.81409243 233.8712
## 1133       119.3427  44.25654 194.4288   4.50834126 234.1770
## 1134       119.3427  44.05715 194.6282   4.20340201 234.4819
## 1135       119.3427  43.85828 194.8270   3.89926824 234.7861
## 1136       119.3427  43.65994 195.0254   3.59593360 235.0894
## 1137       119.3427  43.46212 195.2232   3.29339183 235.3919
## 1138       119.3427  43.26482 195.4205   2.99163675 235.6937
## 1139       119.3427  43.06802 195.6173   2.69066223 235.9947
## 1140       119.3427  42.87173 195.8136   2.39046227 236.2949
## 1141       119.3427  42.67594 196.0094   2.09103091 236.5943
## 1142       119.3427  42.48065 196.2047   1.79236228 236.8930
## 1143       119.3427  42.28586 196.3995   1.49445057 237.1909
## 1144       119.3427  42.09156 196.5938   1.19729007 237.4880
## 1145       119.3427  41.89774 196.7876   0.90087512 237.7844
## 1146       119.3427  41.70441 196.9809   0.60520013 238.0801
## 1147       119.3427  41.51156 197.1738   0.31025959 238.3751
## 1148       119.3427  41.31918 197.3661   0.01604806 238.6693
## 1149       119.3427  41.12728 197.5580  -0.27743985 238.9628
## 1150       119.3427  40.93585 197.7495  -0.57020944 239.2555
## 1151       119.3427  40.74488 197.9404  -0.86226598 239.5476
## 1152       119.3427  40.55438 198.1309  -1.15361463 239.8389
## 1153       119.3427  40.36434 198.3210  -1.44426052 240.1296
## 1154       119.3427  40.17475 198.5106  -1.73420872 240.4195
## 1155       119.3427  39.98562 198.6997  -2.02346423 240.7088
## 1156       119.3427  39.79693 198.8884  -2.31203198 240.9974
## 1157       119.3427  39.60869 199.0766  -2.59991686 241.2852
## 1158       119.3427  39.42090 199.2644  -2.88712370 241.5724
## 1159       119.3427  39.23355 199.4518  -3.17365725 241.8590
## 1160       119.3427  39.04663 199.6387  -3.45952224 242.1448
## 1161       119.3427  38.86015 199.8252  -3.74472332 242.4300
## 1162       119.3427  38.67409 200.0112  -4.02926511 242.7146
## 1163       119.3427  38.48847 200.1969  -4.31315213 242.9985
## 1164       119.3427  38.30327 200.3820  -4.59638891 243.2817
## 1165       119.3427  38.11850 200.5668  -4.87897989 243.5643
## 1166       119.3427  37.93414 200.7512  -5.16092945 243.8463
## 1167       119.3427  37.75020 200.9351  -5.44224196 244.1276
## 1168       119.3427  37.56667 201.1186  -5.72292171 244.4082
## 1169       119.3427  37.38356 201.3018  -6.00297294 244.6883
## 1170       119.3427  37.20085 201.4845  -6.28239987 244.9677
## 1171       119.3427  37.01855 201.6668  -6.56120666 245.2465
## 1172       119.3427  36.83665 201.8487  -6.83939740 245.5247
## 1173       119.3427  36.65515 202.0302  -7.11697617 245.8023
## 1174       119.3427  36.47405 202.2113  -7.39394699 246.0793
## 1175       119.3427  36.29334 202.3920  -7.67031383 246.3556
## 1176       119.3427  36.11303 202.5723  -7.94608063 246.6314
## 1177       119.3427  35.93310 202.7522  -8.22125128 246.9066
## 1178       119.3427  35.75356 202.9318  -8.49582964 247.1812
## 1179       119.3427  35.57441 203.1109  -8.76981950 247.4551
## 1180       119.3427  35.39564 203.2897  -9.04322463 247.7285
## 1181       119.3427  35.21725 203.4681  -9.31604878 248.0014
## 1182       119.3427  35.03924 203.6461  -9.58829561 248.2736
autoplot(ses.1) +
  autolayer(fitted(ses.1), series="Fitted") +
  ylab("Price") + xlab("Date")

#Cara 2 (fungsi Holtwinter)

ses1<- HoltWinters(train.ts, gamma = FALSE, beta = FALSE, alpha = 0.2)
plot(ses1)

#ramalan
ramalan1<- forecast(ses1, h=236)
ramalan1
##      Point Forecast     Lo 80    Hi 80     Lo 95    Hi 95
##  947       121.4478 109.55490 133.3406 103.25920 139.6363
##  948       121.4478 109.31938 133.5762 102.89899 139.9965
##  949       121.4478 109.08834 133.8072 102.54565 140.3499
##  950       121.4478 108.86154 134.0340 102.19880 140.6967
##  951       121.4478 108.63876 134.2568 101.85808 141.0375
##  952       121.4478 108.41979 134.4758 101.52319 141.3723
##  953       121.4478 108.20443 134.6911 101.19383 141.7017
##  954       121.4478 107.99253 134.9030 100.86975 142.0258
##  955       121.4478 107.78390 135.1116 100.55069 142.3448
##  956       121.4478 107.57842 135.3171 100.23643 142.6591
##  957       121.4478 107.37594 135.5196  99.92676 142.9688
##  958       121.4478 107.17633 135.7192  99.62148 143.2741
##  959       121.4478 106.97947 135.9161  99.32042 143.5751
##  960       121.4478 106.78526 136.1103  99.02339 143.8721
##  961       121.4478 106.59358 136.3020  98.73025 144.1653
##  962       121.4478 106.40435 136.4912  98.44084 144.4547
##  963       121.4478 106.21747 136.6781  98.15503 144.7405
##  964       121.4478 106.03285 136.8627  97.87269 145.0229
##  965       121.4478 105.85042 137.0451  97.59368 145.3019
##  966       121.4478 105.67010 137.2254  97.31790 145.5776
##  967       121.4478 105.49181 137.4037  97.04524 145.8503
##  968       121.4478 105.31550 137.5800  96.77559 146.1199
##  969       121.4478 105.14109 137.7544  96.50886 146.3867
##  970       121.4478 104.96853 137.9270  96.24495 146.6506
##  971       121.4478 104.79775 138.0978  95.98377 146.9118
##  972       121.4478 104.62871 138.2668  95.72525 147.1703
##  973       121.4478 104.46136 138.4342  95.46929 147.4262
##  974       121.4478 104.29563 138.5999  95.21584 147.6797
##  975       121.4478 104.13149 138.7640  94.96481 147.9307
##  976       121.4478 103.96890 138.9266  94.71614 148.1794
##  977       121.4478 103.80780 139.0877  94.46976 148.4258
##  978       121.4478 103.64816 139.2474  94.22561 148.6699
##  979       121.4478 103.48993 139.4056  93.98363 148.9119
##  980       121.4478 103.33309 139.5624  93.74376 149.1518
##  981       121.4478 103.17760 139.7179  93.50596 149.3896
##  982       121.4478 103.02342 139.8721  93.27016 149.6254
##  983       121.4478 102.87052 140.0250  93.03631 149.8592
##  984       121.4478 102.71886 140.1767  92.80438 150.0912
##  985       121.4478 102.56843 140.3271  92.57431 150.3212
##  986       121.4478 102.41918 140.4764  92.34606 150.5495
##  987       121.4478 102.27110 140.6244  92.11958 150.7760
##  988       121.4478 102.12415 140.7714  91.89484 151.0007
##  989       121.4478 101.97831 140.9172  91.67180 151.2237
##  990       121.4478 101.83355 141.0620  91.45041 151.4451
##  991       121.4478 101.68985 141.2057  91.23065 151.6649
##  992       121.4478 101.54720 141.3483  91.01247 151.8831
##  993       121.4478 101.40555 141.4900  90.79584 152.0997
##  994       121.4478 101.26490 141.6306  90.58074 152.3148
##  995       121.4478 101.12523 141.7703  90.36713 152.5284
##  996       121.4478 100.98651 141.9090  90.15497 152.7406
##  997       121.4478 100.84872 142.0468  89.94424 152.9513
##  998       121.4478 100.71185 142.1837  89.73491 153.1606
##  999       121.4478 100.57587 142.3197  89.52696 153.3686
## 1000       121.4478 100.44078 142.4548  89.32035 153.5752
## 1001       121.4478 100.30655 142.5890  89.11506 153.7805
## 1002       121.4478 100.17316 142.7224  88.91106 153.9845
## 1003       121.4478 100.04061 142.8549  88.70834 154.1872
## 1004       121.4478  99.90887 142.9867  88.50687 154.3887
## 1005       121.4478  99.77793 143.1176  88.30662 154.5889
## 1006       121.4478  99.64778 143.2478  88.10757 154.7880
## 1007       121.4478  99.51841 143.3771  87.90970 154.9858
## 1008       121.4478  99.38979 143.5058  87.71300 155.1825
## 1009       121.4478  99.26191 143.6336  87.51743 155.3781
## 1010       121.4478  99.13477 143.7608  87.32299 155.5726
## 1011       121.4478  99.00835 143.8872  87.12964 155.7659
## 1012       121.4478  98.88264 144.0129  86.93738 155.9582
## 1013       121.4478  98.75762 144.1379  86.74619 156.1493
## 1014       121.4478  98.63329 144.2622  86.55604 156.3395
## 1015       121.4478  98.50964 144.3859  86.36692 156.5286
## 1016       121.4478  98.38664 144.5089  86.17882 156.7167
## 1017       121.4478  98.26430 144.6312  85.99172 156.9038
## 1018       121.4478  98.14260 144.7529  85.80560 157.0899
## 1019       121.4478  98.02154 144.8740  85.62044 157.2751
## 1020       121.4478  97.90109 144.9944  85.43624 157.4593
## 1021       121.4478  97.78126 145.1143  85.25297 157.6426
## 1022       121.4478  97.66203 145.2335  85.07063 157.8249
## 1023       121.4478  97.54340 145.3521  84.88919 158.0063
## 1024       121.4478  97.42535 145.4702  84.70866 158.1869
## 1025       121.4478  97.30789 145.5877  84.52900 158.3665
## 1026       121.4478  97.19098 145.7046  84.35022 158.5453
## 1027       121.4478  97.07464 145.8209  84.17229 158.7232
## 1028       121.4478  96.95886 145.9367  83.99521 158.9003
## 1029       121.4478  96.84361 146.0519  83.81896 159.0766
## 1030       121.4478  96.72891 146.1666  83.64353 159.2520
## 1031       121.4478  96.61473 146.2808  83.46892 159.4266
## 1032       121.4478  96.50108 146.3945  83.29510 159.6004
## 1033       121.4478  96.38794 146.5076  83.12207 159.7735
## 1034       121.4478  96.27531 146.6202  82.94982 159.9457
## 1035       121.4478  96.16319 146.7324  82.77834 160.1172
## 1036       121.4478  96.05155 146.8440  82.60761 160.2879
## 1037       121.4478  95.94041 146.9551  82.43763 160.4579
## 1038       121.4478  95.82975 147.0658  82.26839 160.6271
## 1039       121.4478  95.71956 147.1760  82.09987 160.7957
## 1040       121.4478  95.60985 147.2857  81.93208 160.9635
## 1041       121.4478  95.50060 147.3949  81.76499 161.1305
## 1042       121.4478  95.39180 147.5037  81.59861 161.2969
## 1043       121.4478  95.28346 147.6121  81.43291 161.4626
## 1044       121.4478  95.17557 147.7200  81.26790 161.6276
## 1045       121.4478  95.06811 147.8274  81.10357 161.7920
## 1046       121.4478  94.96110 147.9344  80.93990 161.9556
## 1047       121.4478  94.85451 148.0410  80.77689 162.1186
## 1048       121.4478  94.74835 148.1472  80.61453 162.2810
## 1049       121.4478  94.64261 148.2529  80.45281 162.4427
## 1050       121.4478  94.53728 148.3583  80.29173 162.6038
## 1051       121.4478  94.43237 148.4632  80.13128 162.7643
## 1052       121.4478  94.32786 148.5677  79.97145 162.9241
## 1053       121.4478  94.22375 148.6718  79.81223 163.0833
## 1054       121.4478  94.12004 148.7755  79.65362 163.2419
## 1055       121.4478  94.01672 148.8788  79.49560 163.3999
## 1056       121.4478  93.91379 148.9817  79.33818 163.5574
## 1057       121.4478  93.81124 149.0843  79.18135 163.7142
## 1058       121.4478  93.70907 149.1865  79.02510 163.8704
## 1059       121.4478  93.60728 149.2883  78.86942 164.0261
## 1060       121.4478  93.50586 149.3897  78.71430 164.1812
## 1061       121.4478  93.40480 149.4907  78.55975 164.3358
## 1062       121.4478  93.30411 149.5914  78.40576 164.4898
## 1063       121.4478  93.20377 149.6918  78.25231 164.6432
## 1064       121.4478  93.10380 149.7917  78.09940 164.7961
## 1065       121.4478  93.00417 149.8914  77.94704 164.9485
## 1066       121.4478  92.90489 149.9906  77.79520 165.1003
## 1067       121.4478  92.80595 150.0896  77.64389 165.2516
## 1068       121.4478  92.70736 150.1882  77.49310 165.4024
## 1069       121.4478  92.60910 150.2864  77.34283 165.5527
## 1070       121.4478  92.51117 150.3844  77.19307 165.7025
## 1071       121.4478  92.41358 150.4820  77.04381 165.8517
## 1072       121.4478  92.31631 150.5792  76.89505 166.0005
## 1073       121.4478  92.21937 150.6762  76.74679 166.1487
## 1074       121.4478  92.12275 150.7728  76.59902 166.2965
## 1075       121.4478  92.02644 150.8691  76.45173 166.4438
## 1076       121.4478  91.93045 150.9651  76.30492 166.5906
## 1077       121.4478  91.83477 151.0608  76.15859 166.7369
## 1078       121.4478  91.73940 151.1561  76.01273 166.8828
## 1079       121.4478  91.64433 151.2512  75.86734 167.0282
## 1080       121.4478  91.54956 151.3460  75.72241 167.1731
## 1081       121.4478  91.45510 151.4404  75.57794 167.3176
## 1082       121.4478  91.36093 151.5346  75.43392 167.4616
## 1083       121.4478  91.26706 151.6285  75.29035 167.6052
## 1084       121.4478  91.17347 151.7221  75.14723 167.7483
## 1085       121.4478  91.08018 151.8154  75.00454 167.8910
## 1086       121.4478  90.98717 151.9084  74.86230 168.0332
## 1087       121.4478  90.89444 152.0011  74.72049 168.1751
## 1088       121.4478  90.80199 152.0935  74.57910 168.3164
## 1089       121.4478  90.70983 152.1857  74.43814 168.4574
## 1090       121.4478  90.61793 152.2776  74.29761 168.5979
## 1091       121.4478  90.52631 152.3692  74.15749 168.7381
## 1092       121.4478  90.43497 152.4606  74.01778 168.8778
## 1093       121.4478  90.34389 152.5517  73.87848 169.0171
## 1094       121.4478  90.25307 152.6425  73.73960 169.1559
## 1095       121.4478  90.16252 152.7330  73.60111 169.2944
## 1096       121.4478  90.07223 152.8233  73.46302 169.4325
## 1097       121.4478  89.98220 152.9133  73.32533 169.5702
## 1098       121.4478  89.89243 153.0031  73.18804 169.7075
## 1099       121.4478  89.80291 153.0926  73.05113 169.8444
## 1100       121.4478  89.71364 153.1819  72.91461 169.9809
## 1101       121.4478  89.62463 153.2709  72.77847 170.1171
## 1102       121.4478  89.53586 153.3597  72.64271 170.2528
## 1103       121.4478  89.44734 153.4482  72.50733 170.3882
## 1104       121.4478  89.35906 153.5365  72.37232 170.5232
## 1105       121.4478  89.27102 153.6245  72.23768 170.6579
## 1106       121.4478  89.18323 153.7123  72.10341 170.7921
## 1107       121.4478  89.09567 153.7999  71.96951 170.9260
## 1108       121.4478  89.00835 153.8872  71.83596 171.0596
## 1109       121.4478  88.92127 153.9743  71.70278 171.1928
## 1110       121.4478  88.83441 154.0611  71.56995 171.3256
## 1111       121.4478  88.74779 154.1477  71.43747 171.4581
## 1112       121.4478  88.66140 154.2341  71.30534 171.5902
## 1113       121.4478  88.57523 154.3203  71.17356 171.7220
## 1114       121.4478  88.48929 154.4062  71.04212 171.8534
## 1115       121.4478  88.40357 154.4920  70.91103 171.9845
## 1116       121.4478  88.31807 154.5775  70.78027 172.1153
## 1117       121.4478  88.23280 154.6627  70.64986 172.2457
## 1118       121.4478  88.14774 154.7478  70.51977 172.3758
## 1119       121.4478  88.06290 154.8326  70.39002 172.5055
## 1120       121.4478  87.97827 154.9173  70.26059 172.6349
## 1121       121.4478  87.89386 155.0017  70.13150 172.7640
## 1122       121.4478  87.80966 155.0859  70.00272 172.8928
## 1123       121.4478  87.72567 155.1699  69.87427 173.0213
## 1124       121.4478  87.64189 155.2536  69.74614 173.1494
## 1125       121.4478  87.55831 155.3372  69.61832 173.2772
## 1126       121.4478  87.47495 155.4206  69.49082 173.4047
## 1127       121.4478  87.39178 155.5038  69.36363 173.5319
## 1128       121.4478  87.30882 155.5867  69.23675 173.6588
## 1129       121.4478  87.22606 155.6695  69.11018 173.7854
## 1130       121.4478  87.14350 155.7520  68.98391 173.9116
## 1131       121.4478  87.06113 155.8344  68.85795 174.0376
## 1132       121.4478  86.97897 155.9166  68.73228 174.1633
## 1133       121.4478  86.89699 155.9985  68.60692 174.2886
## 1134       121.4478  86.81522 156.0803  68.48185 174.4137
## 1135       121.4478  86.73363 156.1619  68.35708 174.5385
## 1136       121.4478  86.65224 156.2433  68.23260 174.6629
## 1137       121.4478  86.57104 156.3245  68.10841 174.7871
## 1138       121.4478  86.49002 156.4055  67.98451 174.9110
## 1139       121.4478  86.40919 156.4863  67.86089 175.0346
## 1140       121.4478  86.32855 156.5670  67.73756 175.1580
## 1141       121.4478  86.24810 156.6474  67.61452 175.2810
## 1142       121.4478  86.16782 156.7277  67.49175 175.4038
## 1143       121.4478  86.08773 156.8078  67.36926 175.5263
## 1144       121.4478  86.00782 156.8877  67.24705 175.6485
## 1145       121.4478  85.92809 156.9674  67.12511 175.7704
## 1146       121.4478  85.84854 157.0470  67.00345 175.8921
## 1147       121.4478  85.76917 157.1264  66.88206 176.0135
## 1148       121.4478  85.68997 157.2056  66.76093 176.1346
## 1149       121.4478  85.61095 157.2846  66.64008 176.2555
## 1150       121.4478  85.53210 157.3634  66.51949 176.3760
## 1151       121.4478  85.45342 157.4421  66.39917 176.4964
## 1152       121.4478  85.37492 157.5206  66.27910 176.6164
## 1153       121.4478  85.29658 157.5990  66.15930 176.7362
## 1154       121.4478  85.21842 157.6771  66.03976 176.8558
## 1155       121.4478  85.14042 157.7551  65.92047 176.9751
## 1156       121.4478  85.06259 157.8329  65.80144 177.0941
## 1157       121.4478  84.98493 157.9106  65.68267 177.2129
## 1158       121.4478  84.90743 157.9881  65.56414 177.3314
## 1159       121.4478  84.83010 158.0654  65.44587 177.4497
## 1160       121.4478  84.75293 158.1426  65.32785 177.5677
## 1161       121.4478  84.67592 158.2196  65.21007 177.6855
## 1162       121.4478  84.59907 158.2965  65.09254 177.8030
## 1163       121.4478  84.52238 158.3732  64.97526 177.9203
## 1164       121.4478  84.44585 158.4497  64.85822 178.0373
## 1165       121.4478  84.36948 158.5261  64.74142 178.1541
## 1166       121.4478  84.29326 158.6023  64.62486 178.2707
## 1167       121.4478  84.21721 158.6783  64.50854 178.3870
## 1168       121.4478  84.14130 158.7542  64.39245 178.5031
## 1169       121.4478  84.06555 158.8300  64.27660 178.6189
## 1170       121.4478  83.98996 158.9056  64.16099 178.7345
## 1171       121.4478  83.91451 158.9810  64.04561 178.8499
## 1172       121.4478  83.83922 159.0563  63.93046 178.9651
## 1173       121.4478  83.76408 159.1315  63.81554 179.0800
## 1174       121.4478  83.68909 159.2065  63.70085 179.1947
## 1175       121.4478  83.61424 159.2813  63.58638 179.3092
## 1176       121.4478  83.53955 159.3560  63.47215 179.4234
## 1177       121.4478  83.46500 159.4305  63.35813 179.5374
## 1178       121.4478  83.39059 159.5049  63.24434 179.6512
## 1179       121.4478  83.31634 159.5792  63.13078 179.7648
## 1180       121.4478  83.24222 159.6533  63.01743 179.8781
## 1181       121.4478  83.16825 159.7273  62.90430 179.9912
## 1182       121.4478  83.09443 159.8011  62.79139 180.1041
ses2<- HoltWinters(train.ts, gamma = FALSE, beta = FALSE, alpha = 0.7)
plot(ses2)

#ramalan
ramalan2<- forecast(ses2, h=236)
ramalan2
##      Point Forecast     Lo 80    Hi 80        Lo 95    Hi 95
##  947       119.3427 111.52031 127.1650 107.37941037 131.3059
##  948       119.3427 109.79427 128.8911 104.73965270 133.9457
##  949       119.3427 108.33564 130.3497 102.50887542 136.1764
##  950       119.3427 107.04887 131.6364 100.54093709 138.1444
##  951       119.3427 105.88458 132.8007  98.76030673 139.9250
##  952       119.3427 104.81329 133.8720  97.12190962 141.5634
##  953       119.3427 103.81574 134.8696  95.59628703 143.0890
##  954       119.3427 102.87852 135.8068  94.16293182 144.5224
##  955       119.3427 101.99185 136.6935  92.80688805 145.8784
##  956       119.3427 101.14834 137.5370  91.51685049 147.1685
##  957       119.3427 100.34224 138.3431  90.28402691 148.4013
##  958       119.3427  99.56898 139.1163  89.10141930 149.5839
##  959       119.3427  98.82483 139.8605  87.96334960 150.7220
##  960       119.3427  98.10675 140.5786  86.86513541 151.8202
##  961       119.3427  97.41216 141.2732  85.80286147 152.8825
##  962       119.3427  96.73891 141.9464  84.77321442 153.9121
##  963       119.3427  96.08515 142.6002  83.77336074 154.9120
##  964       119.3427  95.44926 143.2361  82.80085473 155.8845
##  965       119.3427  94.82986 143.8555  81.85356806 156.8318
##  966       119.3427  94.22573 144.4596  80.92963490 157.7557
##  967       119.3427  93.63580 145.0495  80.02740877 158.6579
##  968       119.3427  93.05910 145.6262  79.14542798 159.5399
##  969       119.3427  92.49479 146.1905  78.28238791 160.4029
##  970       119.3427  91.94210 146.7432  77.43711828 161.2482
##  971       119.3427  91.40034 147.2850  76.60856461 162.0768
##  972       119.3427  90.86888 147.8164  75.79577272 162.8895
##  973       119.3427  90.34716 148.3382  74.99787593 163.6874
##  974       119.3427  89.83467 148.8507  74.21408417 164.4712
##  975       119.3427  89.33093 149.3544  73.44367484 165.2416
##  976       119.3427  88.83550 149.8498  72.68598501 165.9993
##  977       119.3427  88.34799 150.3373  71.94040474 166.7449
##  978       119.3427  87.86803 150.8173  71.20637134 167.4789
##  979       119.3427  87.39528 151.2900  70.48336438 168.2020
##  980       119.3427  86.92943 151.7559  69.77090139 168.9144
##  981       119.3427  86.47018 152.2151  69.06853411 169.6168
##  982       119.3427  86.01725 152.6681  68.37584514 170.3095
##  983       119.3427  85.57040 153.1149  67.69244510 170.9929
##  984       119.3427  85.12938 153.5559  67.01797002 171.6674
##  985       119.3427  84.69398 153.9913  66.35207910 172.3332
##  986       119.3427  84.26398 154.4213  65.69445270 172.9909
##  987       119.3427  83.83919 154.8461  65.04479053 173.6405
##  988       119.3427  83.41942 155.2659  64.40281005 174.2825
##  989       119.3427  83.00450 155.6808  63.76824507 174.9171
##  990       119.3427  82.59427 156.0911  63.14084440 175.5445
##  991       119.3427  82.18856 156.4968  62.52037071 176.1650
##  992       119.3427  81.78724 156.8981  61.90659953 176.7787
##  993       119.3427  81.39016 157.2952  61.29931822 177.3860
##  994       119.3427  80.99719 157.6881  60.69832517 177.9870
##  995       119.3427  80.60821 158.0771  60.10342899 178.5819
##  996       119.3427  80.22309 158.4622  59.51444782 179.1709
##  997       119.3427  79.84174 158.8436  58.93120864 179.7541
##  998       119.3427  79.46402 159.2213  58.35354672 180.3318
##  999       119.3427  79.08985 159.5955  57.78130507 180.9040
## 1000       119.3427  78.71913 159.9662  57.21433390 181.4710
## 1001       119.3427  78.35176 160.3336  56.65249022 182.0328
## 1002       119.3427  77.98765 160.6977  56.09563739 182.5897
## 1003       119.3427  77.62673 161.0586  55.54364471 183.1417
## 1004       119.3427  77.26889 161.4164  54.99638711 183.6889
## 1005       119.3427  76.91408 161.7712  54.45374479 184.2316
## 1006       119.3427  76.56221 162.1231  53.91560291 184.7697
## 1007       119.3427  76.21321 162.4721  53.38185131 185.3035
## 1008       119.3427  75.86701 162.8183  52.85238428 185.8329
## 1009       119.3427  75.52354 163.1618  52.32710025 186.3582
## 1010       119.3427  75.18275 163.5026  51.80590163 186.8794
## 1011       119.3427  74.84456 163.8408  51.28869455 187.3966
## 1012       119.3427  74.50893 164.1764  50.77538868 187.9099
## 1013       119.3427  74.17579 164.5095  50.26589705 188.4194
## 1014       119.3427  73.84509 164.8402  49.76013589 188.9252
## 1015       119.3427  73.51678 165.1685  49.25802442 189.4273
## 1016       119.3427  73.19080 165.4945  48.75948476 189.9258
## 1017       119.3427  72.86711 165.8182  48.26444175 190.4209
## 1018       119.3427  72.54566 166.1397  47.77282283 190.9125
## 1019       119.3427  72.22640 166.4589  47.28455792 191.4008
## 1020       119.3427  71.90929 166.7760  46.79957929 191.8857
## 1021       119.3427  71.59428 167.0910  46.31782148 192.3675
## 1022       119.3427  71.28134 167.4040  45.83922114 192.8461
## 1023       119.3427  70.97043 167.7149  45.36371700 193.3216
## 1024       119.3427  70.66150 168.0238  44.89124974 193.7941
## 1025       119.3427  70.35452 168.3308  44.42176190 194.2636
## 1026       119.3427  70.04945 168.6359  43.95519781 194.7301
## 1027       119.3427  69.74625 168.9391  43.49150353 195.1938
## 1028       119.3427  69.44490 169.2404  43.03062674 195.6547
## 1029       119.3427  69.14536 169.5400  42.57251669 196.1128
## 1030       119.3427  68.84760 169.8377  42.11712416 196.5682
## 1031       119.3427  68.55158 170.1337  41.66440134 197.0209
## 1032       119.3427  68.25727 170.4280  41.21430182 197.4710
## 1033       119.3427  67.96465 170.7207  40.76678053 197.9185
## 1034       119.3427  67.67369 171.0116  40.32179366 198.3635
## 1035       119.3427  67.38436 171.3010  39.87929863 198.8060
## 1036       119.3427  67.09663 171.5887  39.43925405 199.2461
## 1037       119.3427  66.81048 171.8748  39.00161964 199.6837
## 1038       119.3427  66.52587 172.1594  38.56635624 200.1190
## 1039       119.3427  66.24280 172.4425  38.13342573 200.5519
## 1040       119.3427  65.96122 172.7241  37.70279098 200.9825
## 1041       119.3427  65.68112 173.0042  37.27441585 201.4109
## 1042       119.3427  65.40247 173.2828  36.84826516 201.8371
## 1043       119.3427  65.12526 173.5601  36.42430460 202.2610
## 1044       119.3427  64.84946 173.8359  36.00250074 202.6828
## 1045       119.3427  64.57505 174.1103  35.58282100 203.1025
## 1046       119.3427  64.30200 174.3833  35.16523362 203.5201
## 1047       119.3427  64.03030 174.6550  34.74970761 203.9356
## 1048       119.3427  63.75993 174.9254  34.33621273 204.3491
## 1049       119.3427  63.49087 175.1945  33.92471950 204.7606
## 1050       119.3427  63.22310 175.4622  33.51519911 205.1701
## 1051       119.3427  62.95660 175.7287  33.10762347 205.5777
## 1052       119.3427  62.69135 175.9940  32.70196513 205.9834
## 1053       119.3427  62.42735 176.2580  32.29819727 206.3871
## 1054       119.3427  62.16455 176.5208  31.89629373 206.7890
## 1055       119.3427  61.90297 176.7824  31.49622890 207.1891
## 1056       119.3427  61.64256 177.0428  31.09797778 207.5873
## 1057       119.3427  61.38333 177.3020  30.70151593 207.9838
## 1058       119.3427  61.12525 177.5601  30.30681943 208.3785
## 1059       119.3427  60.86831 177.8170  29.91386493 208.7715
## 1060       119.3427  60.61250 178.0728  29.52262954 209.1627
## 1061       119.3427  60.35779 178.3275  29.13309092 209.5522
## 1062       119.3427  60.10418 178.5811  28.74522716 209.9401
## 1063       119.3427  59.85165 178.8337  28.35901686 210.3263
## 1064       119.3427  59.60019 179.0851  27.97443903 210.7109
## 1065       119.3427  59.34978 179.3355  27.59147317 211.0938
## 1066       119.3427  59.10042 179.5849  27.21009915 211.4752
## 1067       119.3427  58.85208 179.8332  26.83029731 211.8550
## 1068       119.3427  58.60475 180.0806  26.45204834 212.2333
## 1069       119.3427  58.35843 180.3269  26.07533337 212.6100
## 1070       119.3427  58.11310 180.5722  25.70013387 212.9852
## 1071       119.3427  57.86875 180.8166  25.32643171 213.3589
## 1072       119.3427  57.62537 181.0600  24.95420909 213.7311
## 1073       119.3427  57.38294 181.3024  24.58344858 214.1019
## 1074       119.3427  57.14146 181.5439  24.21413309 214.4712
## 1075       119.3427  56.90091 181.7844  23.84624586 214.8391
## 1076       119.3427  56.66129 182.0240  23.47977043 215.2056
## 1077       119.3427  56.42257 182.2627  23.11469068 215.5706
## 1078       119.3427  56.18476 182.5006  22.75099078 215.9343
## 1079       119.3427  55.94784 182.7375  22.38865520 216.2967
## 1080       119.3427  55.71181 182.9735  22.02766872 216.6577
## 1081       119.3427  55.47664 183.2087  21.66801635 217.0173
## 1082       119.3427  55.24234 183.4430  21.30968343 217.3756
## 1083       119.3427  55.00889 183.6764  20.95265554 217.7327
## 1084       119.3427  54.77629 183.9090  20.59691852 218.0884
## 1085       119.3427  54.54452 184.1408  20.24245847 218.4429
## 1086       119.3427  54.31358 184.3717  19.88926174 218.7961
## 1087       119.3427  54.08345 184.6019  19.53731491 219.1480
## 1088       119.3427  53.85414 184.8312  19.18660481 219.4987
## 1089       119.3427  53.62562 185.0597  18.83711849 219.8482
## 1090       119.3427  53.39789 185.2874  18.48884323 220.1965
## 1091       119.3427  53.17095 185.5144  18.14176652 220.5436
## 1092       119.3427  52.94479 185.7405  17.79587609 220.8894
## 1093       119.3427  52.71939 185.9659  17.45115983 221.2342
## 1094       119.3427  52.49475 186.1906  17.10760589 221.5777
## 1095       119.3427  52.27087 186.4145  16.76520257 221.9201
## 1096       119.3427  52.04773 186.6376  16.42393840 222.2614
## 1097       119.3427  51.82532 186.8600  16.08380208 222.6015
## 1098       119.3427  51.60365 187.0817  15.74478251 222.9405
## 1099       119.3427  51.38270 187.3026  15.40686874 223.2785
## 1100       119.3427  51.16247 187.5229  15.07005005 223.6153
## 1101       119.3427  50.94294 187.7424  14.73431583 223.9510
## 1102       119.3427  50.72412 187.9612  14.39965569 224.2857
## 1103       119.3427  50.50599 188.1793  14.06605939 224.6193
## 1104       119.3427  50.28855 188.3968  13.73351684 224.9518
## 1105       119.3427  50.07180 188.6135  13.40201812 225.2833
## 1106       119.3427  49.85572 188.8296  13.07155346 225.6138
## 1107       119.3427  49.64031 189.0450  12.74211325 225.9432
## 1108       119.3427  49.42556 189.2598  12.41368801 226.2716
## 1109       119.3427  49.21148 189.4738  12.08626843 226.5991
## 1110       119.3427  48.99804 189.6873  11.75984531 226.9255
## 1111       119.3427  48.78525 189.9001  11.43440963 227.2509
## 1112       119.3427  48.57310 190.1122  11.10995246 227.5754
## 1113       119.3427  48.36158 190.3237  10.78646504 227.8989
## 1114       119.3427  48.15069 190.5346  10.46393872 228.2214
## 1115       119.3427  47.94043 190.7449  10.14236499 228.5430
## 1116       119.3427  47.73078 190.9545   9.82173545 228.8636
## 1117       119.3427  47.52174 191.1636   9.50204185 229.1833
## 1118       119.3427  47.31331 191.3720   9.18327602 229.5020
## 1119       119.3427  47.10548 191.5798   8.86542994 229.8199
## 1120       119.3427  46.89825 191.7871   8.54849569 230.1368
## 1121       119.3427  46.69161 191.9937   8.23246547 230.4529
## 1122       119.3427  46.48555 192.1998   7.91733159 230.7680
## 1123       119.3427  46.28008 192.4052   7.60308646 231.0822
## 1124       119.3427  46.07518 192.6101   7.28972261 231.3956
## 1125       119.3427  45.87086 192.8145   6.97723267 231.7081
## 1126       119.3427  45.66710 193.0182   6.66560935 232.0197
## 1127       119.3427  45.46390 193.2214   6.35484550 232.3305
## 1128       119.3427  45.26126 193.4241   6.04493404 232.6404
## 1129       119.3427  45.05917 193.6261   5.73586799 232.9495
## 1130       119.3427  44.85763 193.8277   5.42764047 233.2577
## 1131       119.3427  44.65664 194.0287   5.12024470 233.5651
## 1132       119.3427  44.45618 194.2291   4.81367397 233.8716
## 1133       119.3427  44.25626 194.4291   4.50792169 234.1774
## 1134       119.3427  44.05687 194.6285   4.20298132 234.4823
## 1135       119.3427  43.85801 194.8273   3.89884644 234.7865
## 1136       119.3427  43.65967 195.0257   3.59551069 235.0898
## 1137       119.3427  43.46185 195.2235   3.29296782 235.3924
## 1138       119.3427  43.26454 195.4208   2.99121163 235.6941
## 1139       119.3427  43.06774 195.6176   2.69023602 235.9951
## 1140       119.3427  42.87145 195.8139   2.39003496 236.2953
## 1141       119.3427  42.67566 196.0097   2.09060250 236.5947
## 1142       119.3427  42.48037 196.2049   1.79193278 236.8934
## 1143       119.3427  42.28558 196.3997   1.49401999 237.1913
## 1144       119.3427  42.09127 196.5940   1.19685840 237.4885
## 1145       119.3427  41.89746 196.7879   0.90044236 237.7849
## 1146       119.3427  41.70412 196.9812   0.60476629 238.0806
## 1147       119.3427  41.51127 197.1740   0.30982468 238.3755
## 1148       119.3427  41.31890 197.3664   0.01561207 238.6697
## 1149       119.3427  41.12700 197.5583  -0.27787691 238.9632
## 1150       119.3427  40.93556 197.7498  -0.57064758 239.2560
## 1151       119.3427  40.74460 197.9407  -0.86270517 239.5480
## 1152       119.3427  40.55409 198.1312  -1.15405489 239.8394
## 1153       119.3427  40.36405 198.3213  -1.44470185 240.1300
## 1154       119.3427  40.17446 198.5109  -1.73465111 240.4200
## 1155       119.3427  39.98533 198.7000  -2.02390767 240.7092
## 1156       119.3427  39.79664 198.8887  -2.31247648 240.9978
## 1157       119.3427  39.60840 199.0769  -2.60036241 241.2857
## 1158       119.3427  39.42061 199.2647  -2.88757029 241.5729
## 1159       119.3427  39.23325 199.4521  -3.17410489 241.8594
## 1160       119.3427  39.04634 199.6390  -3.45997093 242.1453
## 1161       119.3427  38.85985 199.8255  -3.74517306 242.4305
## 1162       119.3427  38.67380 200.0115  -4.02971588 242.7150
## 1163       119.3427  38.48818 200.1971  -4.31360394 242.9989
## 1164       119.3427  38.30298 200.3823  -4.59684175 243.2822
## 1165       119.3427  38.11820 200.5671  -4.87943376 243.5648
## 1166       119.3427  37.93384 200.7515  -5.16138436 243.8467
## 1167       119.3427  37.74990 200.9354  -5.44269789 244.1280
## 1168       119.3427  37.56637 201.1189  -5.72337866 244.4087
## 1169       119.3427  37.38326 201.3021  -6.00343092 244.6888
## 1170       119.3427  37.20055 201.4848  -6.28285888 244.9682
## 1171       119.3427  37.01825 201.6671  -6.56166668 245.2470
## 1172       119.3427  36.83635 201.8490  -6.83985844 245.5252
## 1173       119.3427  36.65485 202.0305  -7.11743822 245.8028
## 1174       119.3427  36.47374 202.2116  -7.39441005 246.0797
## 1175       119.3427  36.29304 202.3923  -7.67077790 246.3561
## 1176       119.3427  36.11272 202.5726  -7.94654571 246.6319
## 1177       119.3427  35.93280 202.7525  -8.22171737 246.9070
## 1178       119.3427  35.75326 202.9321  -8.49629673 247.1816
## 1179       119.3427  35.57411 203.1112  -8.77028759 247.4556
## 1180       119.3427  35.39534 203.2900  -9.04369372 247.7290
## 1181       119.3427  35.21694 203.4684  -9.31651886 248.0018
## 1182       119.3427  35.03893 203.6464  -9.58876669 248.2741
#SES
ses.opt <- ses(train.ts, h = 236, alpha = NULL)
plot(ses.opt)

ses.opt
##      Point Forecast      Lo 80    Hi 80       Lo 95    Hi 95
##  947       119.4499 112.112059 126.7876 108.2276667 130.6720
##  948       119.4499 109.073165 129.8265 103.5800797 135.3196
##  949       119.4499 106.741270 132.1584 100.0137541 138.8859
##  950       119.4499 104.775368 134.1243  97.0071667 141.8925
##  951       119.4499 103.043363 135.8563  94.3582927 144.5414
##  952       119.4499 101.477503 137.4222  91.9635178 146.9362
##  953       119.4499 100.037543 138.8622  89.7612887 149.1384
##  954       119.4499  98.697258 140.2024  87.7114997 151.1882
##  955       119.4499  97.438433 141.4613  85.7862926 153.1134
##  956       119.4499  96.247805 142.6519  83.9653843 154.9343
##  957       119.4499  95.115362 143.7843  82.2334622 156.6662
##  958       119.4499  94.033326 144.8664  80.5786302 158.3211
##  959       119.4499  92.995510 145.9042  78.9914276 159.9083
##  960       119.4499  91.996899 146.9028  77.4641839 161.4355
##  961       119.4499  91.033359 147.8663  75.9905775 162.9091
##  962       119.4499  90.101437 148.7983  74.5653250 164.3344
##  963       119.4499  89.198209 149.7015  73.1839577 165.7157
##  964       119.4499  88.321178 150.5785  71.8426551 167.0570
##  965       119.4499  87.468190 151.4315  70.5381212 168.3616
##  966       119.4499  86.637367 152.2623  69.2674883 169.6322
##  967       119.4499  85.827069 153.0726  68.0282432 170.8715
##  968       119.4499  85.035844 153.8639  66.8181689 172.0815
##  969       119.4499  84.262405 154.6373  65.6352975 173.2644
##  970       119.4499  83.505606 155.3941  64.4778728 174.4218
##  971       119.4499  82.764416 156.1353  63.3443201 175.5554
##  972       119.4499  82.037907 156.8618  62.2332204 176.6665
##  973       119.4499  81.325240 157.5745  61.1432902 177.7564
##  974       119.4499  80.625652 158.2740  60.0733637 178.8263
##  975       119.4499  79.938450 158.9613  59.0223783 179.8773
##  976       119.4499  79.262997 159.6367  57.9893623 180.9103
##  977       119.4499  78.598711 160.3010  56.9734243 181.9263
##  978       119.4499  77.945055 160.9546  55.9737445 182.9260
##  979       119.4499  77.301536 161.5982  54.9895662 183.9101
##  980       119.4499  76.667695 162.2320  54.0201901 184.8795
##  981       119.4499  76.043109 162.8566  53.0649676 185.8347
##  982       119.4499  75.427383 163.4723  52.1232964 186.7764
##  983       119.4499  74.820151 164.0795  51.1946155 187.7051
##  984       119.4499  74.221071 164.6786  50.2784018 188.6213
##  985       119.4499  73.629823 165.2699  49.3741662 189.5255
##  986       119.4499  73.046108 165.8536  48.4814509 190.4182
##  987       119.4499  72.469645 166.4301  47.5998264 191.2999
##  988       119.4499  71.900170 166.9995  46.7288895 192.1708
##  989       119.4499  71.337435 167.5623  45.8682605 193.0314
##  990       119.4499  70.781206 168.1185  45.0175820 193.8821
##  991       119.4499  70.231263 168.6684  44.1765165 194.7232
##  992       119.4499  69.687397 169.2123  43.3447454 195.5550
##  993       119.4499  69.149411 169.7503  42.5219672 196.3777
##  994       119.4499  68.617119 170.2826  41.7078963 197.1918
##  995       119.4499  68.090343 170.8094  40.9022620 197.9974
##  996       119.4499  67.568915 171.3308  40.1048073 198.7949
##  997       119.4499  67.052676 171.8470  39.3152881 199.5844
##  998       119.4499  66.541474 172.3582  38.5334721 200.3662
##  999       119.4499  66.035164 172.8645  37.7591380 201.1406
## 1000       119.4499  65.533609 173.3661  36.9920751 201.9076
## 1001       119.4499  65.036676 173.8630  36.2320823 202.6676
## 1002       119.4499  64.544241 174.3555  35.4789677 203.4207
## 1003       119.4499  64.056184 174.8435  34.7325479 204.1672
## 1004       119.4499  63.572389 175.3273  33.9926473 204.9071
## 1005       119.4499  63.092747 175.8070  33.2590981 205.6406
## 1006       119.4499  62.617152 176.2825  32.5317396 206.3680
## 1007       119.4499  62.145505 176.7542  31.8104175 207.0893
## 1008       119.4499  61.677708 177.2220  31.0949840 207.8047
## 1009       119.4499  61.213669 177.6860  30.3852973 208.5144
## 1010       119.4499  60.753298 178.1464  29.6812209 209.2185
## 1011       119.4499  60.296510 178.6032  28.9826240 209.9171
## 1012       119.4499  59.843223 179.0565  28.2893805 210.6103
## 1013       119.4499  59.393357 179.5063  27.6013693 211.2983
## 1014       119.4499  58.946835 179.9529  26.9184736 211.9812
## 1015       119.4499  58.503585 180.3961  26.2405810 212.6591
## 1016       119.4499  58.063535 180.8362  25.5675831 213.3321
## 1017       119.4499  57.626618 181.2731  24.8993754 214.0003
## 1018       119.4499  57.192766 181.7069  24.2358570 214.6638
## 1019       119.4499  56.761918 182.1378  23.5769306 215.3228
## 1020       119.4499  56.334010 182.5657  22.9225021 215.9772
## 1021       119.4499  55.908984 182.9907  22.2724807 216.6272
## 1022       119.4499  55.486782 183.4129  21.6267785 217.2729
## 1023       119.4499  55.067348 183.8324  20.9853106 217.9144
## 1024       119.4499  54.650630 184.2491  20.3479946 218.5517
## 1025       119.4499  54.236574 184.6631  19.7147511 219.1849
## 1026       119.4499  53.825131 185.0746  19.0855029 219.8142
## 1027       119.4499  53.416251 185.4834  18.4601754 220.4395
## 1028       119.4499  53.009888 185.8898  17.8386961 221.0610
## 1029       119.4499  52.605995 186.2937  17.2209950 221.6787
## 1030       119.4499  52.204527 186.6952  16.6070038 222.2927
## 1031       119.4499  51.805443 187.0943  15.9966566 222.9030
## 1032       119.4499  51.408699 187.4910  15.3898892 223.5098
## 1033       119.4499  51.014255 187.8854  14.7866394 224.1131
## 1034       119.4499  50.622072 188.2776  14.1868467 224.7129
## 1035       119.4499  50.232110 188.6676  13.5904523 225.3092
## 1036       119.4499  49.844334 189.0554  12.9973992 225.9023
## 1037       119.4499  49.458706 189.4410  12.4076317 226.4921
## 1038       119.4499  49.075190 189.8245  11.8210959 227.0786
## 1039       119.4499  48.693754 190.2059  11.2377392 227.6620
## 1040       119.4499  48.314363 190.5853  10.6575105 228.2422
## 1041       119.4499  47.936984 190.9627  10.0803600 228.8193
## 1042       119.4499  47.561587 191.3381   9.5062392 229.3935
## 1043       119.4499  47.188140 191.7116   8.9351009 229.9646
## 1044       119.4499  46.816612 192.0831   8.3668991 230.5328
## 1045       119.4499  46.446976 192.4527   7.8015890 231.0981
## 1046       119.4499  46.079202 192.8205   7.2391268 231.6606
## 1047       119.4499  45.713262 193.1864   6.6794699 232.2202
## 1048       119.4499  45.349129 193.5506   6.1225769 232.7771
## 1049       119.4499  44.986777 193.9129   5.5684071 233.3313
## 1050       119.4499  44.626179 194.2735   5.0169209 233.8828
## 1051       119.4499  44.267312 194.6324   4.4680798 234.4316
## 1052       119.4499  43.910149 194.9896   3.9218461 234.9779
## 1053       119.4499  43.554666 195.3450   3.3781829 235.5215
## 1054       119.4499  43.200841 195.6989   2.8370544 236.0626
## 1055       119.4499  42.848651 196.0510   2.2984253 236.6013
## 1056       119.4499  42.498072 196.4016   1.7622613 237.1374
## 1057       119.4499  42.149083 196.7506   1.2285290 237.6712
## 1058       119.4499  41.801663 197.0980   0.6971955 238.2025
## 1059       119.4499  41.455790 197.4439   0.1682288 238.7315
## 1060       119.4499  41.111444 197.7883  -0.3584026 239.2581
## 1061       119.4499  40.768606 198.1311  -0.8827291 239.7824
## 1062       119.4499  40.427254 198.4724  -1.4047809 240.3045
## 1063       119.4499  40.087371 198.8123  -1.9245872 240.8243
## 1064       119.4499  39.748938 199.1508  -2.4421769 241.3419
## 1065       119.4499  39.411935 199.4878  -2.9575780 241.8573
## 1066       119.4499  39.076345 199.8234  -3.4708181 242.3705
## 1067       119.4499  38.742151 200.1575  -3.9819241 242.8816
## 1068       119.4499  38.409335 200.4904  -4.4909225 243.3906
## 1069       119.4499  38.077880 200.8218  -4.9978390 243.8975
## 1070       119.4499  37.747770 201.1519  -5.5026990 244.4024
## 1071       119.4499  37.418988 201.4807  -6.0055274 244.9052
## 1072       119.4499  37.091519 201.8082  -6.5063484 245.4060
## 1073       119.4499  36.765346 202.1344  -7.0051860 245.9049
## 1074       119.4499  36.440456 202.4592  -7.5020635 246.4018
## 1075       119.4499  36.116831 202.7829  -7.9970039 246.8967
## 1076       119.4499  35.794459 203.1052  -8.4900295 247.3897
## 1077       119.4499  35.473325 203.4264  -8.9811626 247.8809
## 1078       119.4499  35.153413 203.7463  -9.4704246 248.3701
## 1079       119.4499  34.834712 204.0650  -9.9578368 248.8575
## 1080       119.4499  34.517206 204.3825 -10.4434201 249.3431
## 1081       119.4499  34.200883 204.6988 -10.9271949 249.8269
## 1082       119.4499  33.885729 205.0140 -11.4091812 250.3089
## 1083       119.4499  33.571731 205.3280 -11.8893987 250.7891
## 1084       119.4499  33.258878 205.6408 -12.3678668 251.2676
## 1085       119.4499  32.947156 205.9525 -12.8446045 251.7443
## 1086       119.4499  32.636553 206.2631 -13.3196303 252.2193
## 1087       119.4499  32.327058 206.5726 -13.7929626 252.6927
## 1088       119.4499  32.018658 206.8810 -14.2646194 253.1643
## 1089       119.4499  31.711342 207.1884 -14.7346183 253.6343
## 1090       119.4499  31.405099 207.4946 -15.2029767 254.1027
## 1091       119.4499  31.099917 207.7998 -15.6697117 254.5694
## 1092       119.4499  30.795786 208.1039 -16.1348400 255.0345
## 1093       119.4499  30.492695 208.4070 -16.5983782 255.4981
## 1094       119.4499  30.190633 208.7091 -17.0603423 255.9600
## 1095       119.4499  29.889590 209.0101 -17.5207483 256.4204
## 1096       119.4499  29.589555 209.3101 -17.9796120 256.8793
## 1097       119.4499  29.290518 209.6092 -18.4369486 257.3366
## 1098       119.4499  28.992471 209.9072 -18.8927734 257.7925
## 1099       119.4499  28.695402 210.2043 -19.3471012 258.2468
## 1100       119.4499  28.399302 210.5004 -19.7999467 258.6996
## 1101       119.4499  28.104162 210.7955 -20.2513242 259.1510
## 1102       119.4499  27.809973 211.0897 -20.7012481 259.6009
## 1103       119.4499  27.516725 211.3830 -21.1497322 260.0494
## 1104       119.4499  27.224409 211.6753 -21.5967902 260.4965
## 1105       119.4499  26.933017 211.9667 -22.0424358 260.9421
## 1106       119.4499  26.642540 212.2572 -22.4866821 261.3864
## 1107       119.4499  26.352969 212.5467 -22.9295423 261.8292
## 1108       119.4499  26.064297 212.8354 -23.3710293 262.2707
## 1109       119.4499  25.776513 213.1232 -23.8111558 262.7109
## 1110       119.4499  25.489611 213.4101 -24.2499342 263.1496
## 1111       119.4499  25.203583 213.6961 -24.6873770 263.5871
## 1112       119.4499  24.918420 213.9813 -25.1234961 264.0232
## 1113       119.4499  24.634115 214.2656 -25.5583037 264.4580
## 1114       119.4499  24.350659 214.5490 -25.9918113 264.8915
## 1115       119.4499  24.068046 214.8317 -26.4240306 265.3237
## 1116       119.4499  23.786268 215.1134 -26.8549731 265.7547
## 1117       119.4499  23.505318 215.3944 -27.2846500 266.1844
## 1118       119.4499  23.225187 215.6745 -27.7130723 266.6128
## 1119       119.4499  22.945870 215.9538 -28.1402510 267.0400
## 1120       119.4499  22.667359 216.2323 -28.5661968 267.4659
## 1121       119.4499  22.389647 216.5101 -28.9909204 267.8906
## 1122       119.4499  22.112728 216.7870 -29.4144323 268.3141
## 1123       119.4499  21.836594 217.0631 -29.8367427 268.7364
## 1124       119.4499  21.561239 217.3385 -30.2578618 269.1576
## 1125       119.4499  21.286656 217.6130 -30.6777996 269.5775
## 1126       119.4499  21.012840 217.8869 -31.0965661 269.9963
## 1127       119.4499  20.739782 218.1599 -31.5141709 270.4139
## 1128       119.4499  20.467479 218.4322 -31.9306237 270.8303
## 1129       119.4499  20.195922 218.7038 -32.3459339 271.2456
## 1130       119.4499  19.925106 218.9746 -32.7601110 271.6598
## 1131       119.4499  19.655025 219.2447 -33.1731642 272.0729
## 1132       119.4499  19.385673 219.5140 -33.5851024 272.4848
## 1133       119.4499  19.117044 219.7827 -33.9959348 272.8956
## 1134       119.4499  18.849133 220.0506 -34.4056702 273.3054
## 1135       119.4499  18.581933 220.3178 -34.8143173 273.7140
## 1136       119.4499  18.315439 220.5843 -35.2218847 274.1216
## 1137       119.4499  18.049645 220.8501 -35.6283810 274.5281
## 1138       119.4499  17.784546 221.1152 -36.0338145 274.9335
## 1139       119.4499  17.520137 221.3796 -36.4381936 275.3379
## 1140       119.4499  17.256412 221.6433 -36.8415265 275.7412
## 1141       119.4499  16.993366 221.9063 -37.2438211 276.1435
## 1142       119.4499  16.730993 222.1687 -37.6450856 276.5448
## 1143       119.4499  16.469289 222.4304 -38.0453277 276.9450
## 1144       119.4499  16.208248 222.6915 -38.4445552 277.3443
## 1145       119.4499  15.947865 222.9518 -38.8427759 277.7425
## 1146       119.4499  15.688136 223.2116 -39.2399973 278.1397
## 1147       119.4499  15.429056 223.4706 -39.6362268 278.5359
## 1148       119.4499  15.170619 223.7291 -40.0314720 278.9312
## 1149       119.4499  14.912821 223.9869 -40.4257400 279.3254
## 1150       119.4499  14.655657 224.2440 -40.8190381 279.7187
## 1151       119.4499  14.399123 224.5006 -41.2113734 280.1111
## 1152       119.4499  14.143213 224.7565 -41.6027529 280.5025
## 1153       119.4499  13.887924 225.0118 -41.9931837 280.8929
## 1154       119.4499  13.633251 225.2664 -42.3826725 281.2824
## 1155       119.4499  13.379190 225.5205 -42.7712261 281.6709
## 1156       119.4499  13.125735 225.7740 -43.1588514 282.0586
## 1157       119.4499  12.872883 226.0268 -43.5455547 282.4453
## 1158       119.4499  12.620630 226.2791 -43.9313429 282.8310
## 1159       119.4499  12.368971 226.5307 -44.3162222 283.2159
## 1160       119.4499  12.117902 226.7818 -44.7001991 283.5999
## 1161       119.4499  11.867419 227.0323 -45.0832798 283.9830
## 1162       119.4499  11.617518 227.2822 -45.4654708 284.3652
## 1163       119.4499  11.368194 227.5315 -45.8467780 284.7465
## 1164       119.4499  11.119445 227.7803 -46.2272077 285.1269
## 1165       119.4499  10.871265 228.0284 -46.6067658 285.5065
## 1166       119.4499  10.623651 228.2760 -46.9854584 285.8852
## 1167       119.4499  10.376600 228.5231 -47.3632912 286.2630
## 1168       119.4499  10.130106 228.7696 -47.7402702 286.6400
## 1169       119.4499   9.884168 229.0155 -48.1164011 287.0161
## 1170       119.4499   9.638780 229.2609 -48.4916896 287.3914
## 1171       119.4499   9.393939 229.5058 -48.8661413 287.7658
## 1172       119.4499   9.149641 229.7501 -49.2397619 288.1395
## 1173       119.4499   8.905884 229.9938 -49.6125567 288.5123
## 1174       119.4499   8.662663 230.2370 -49.9845313 288.8842
## 1175       119.4499   8.419975 230.4797 -50.3556911 289.2554
## 1176       119.4499   8.177816 230.7219 -50.7260414 289.6257
## 1177       119.4499   7.936182 230.9635 -51.0955874 289.9953
## 1178       119.4499   7.695072 231.2046 -51.4643344 290.3640
## 1179       119.4499   7.454480 231.4452 -51.8322875 290.7320
## 1180       119.4499   7.214404 231.6853 -52.1994519 291.0992
## 1181       119.4499   6.974841 231.9249 -52.5658326 291.4655
## 1182       119.4499   6.735786 232.1639 -52.9314346 291.8311
#Lamda Optimum Holt Winter
sesopt<- HoltWinters(train.ts, gamma = FALSE, beta = FALSE,alpha = NULL)
sesopt
## Holt-Winters exponential smoothing without trend and without seasonal component.
## 
## Call:
## HoltWinters(x = train.ts, alpha = NULL, beta = FALSE, gamma = FALSE)
## 
## Smoothing parameters:
##  alpha: 0.9999474
##  beta : FALSE
##  gamma: FALSE
## 
## Coefficients:
##       [,1]
## a 119.4499
plot(sesopt)

#ramalan
ramalanopt<- forecast(sesopt, h=236)
ramalanopt
##      Point Forecast      Lo 80    Hi 80       Lo 95    Hi 95
##  947       119.4499 112.112160 126.7877 108.2277840 130.6721
##  948       119.4499 109.073033 129.8268 103.5798401 135.3200
##  949       119.4499 106.740992 132.1589 100.0132912 138.8866
##  950       119.4499 104.774978 134.1249  97.0065325 141.8933
##  951       119.4499 103.042879 135.8570  94.3575158 144.5423
##  952       119.4499 101.476939 137.4229  91.9626165 146.9372
##  953       119.4499 100.036906 138.8629  89.7602760 149.1396
##  954       119.4499  98.696554 140.2033  87.7103853 151.1895
##  955       119.4499  97.437667 141.4622  85.7850842 153.1148
##  956       119.4499  96.246982 142.6529  83.9640879 154.9358
##  957       119.4499  95.114485 143.7854  82.2320831 156.6678
##  958       119.4499  94.032397 144.8674  80.5771726 158.3227
##  959       119.4499  92.994532 145.9053  78.9898953 159.9099
##  960       119.4499  91.995875 146.9040  77.4625802 161.4373
##  961       119.4499  91.032290 147.8676  75.9889052 162.9109
##  962       119.4499  90.100325 148.7995  74.5635867 164.3363
##  963       119.4499  89.197055 149.7028  73.1821556 165.7177
##  964       119.4499  88.319984 150.5799  71.8407913 167.0591
##  965       119.4499  87.466956 151.4329  70.5361976 168.3636
##  966       119.4499  86.636096 152.2637  69.2655066 169.6343
##  967       119.4499  85.825761 153.0741  68.0262051 170.8736
##  968       119.4499  85.034499 153.8653  66.8160757 172.0838
##  969       119.4499  84.261026 154.6388  65.6331506 173.2667
##  970       119.4499  83.504193 155.3956  64.4756735 174.4242
##  971       119.4499  82.762969 156.1369  63.3420695 175.5578
##  972       119.4499  82.036427 156.8634  62.2309197 176.6689
##  973       119.4499  81.323728 157.5761  61.1409404 177.7589
##  974       119.4499  80.624109 158.2757  60.0709657 178.8289
##  975       119.4499  79.936876 158.9630  59.0199331 179.8799
##  976       119.4499  79.261393 159.6384  57.9868707 180.9130
##  977       119.4499  78.597077 160.3028  56.9708872 181.9290
##  978       119.4499  77.943392 160.9565  55.9711626 182.9287
##  979       119.4499  77.299844 161.6000  54.9869403 183.9129
##  980       119.4499  76.665974 162.2339  54.0175208 184.8823
##  981       119.4499  76.041360 162.8585  53.0622557 185.8376
##  982       119.4499  75.425607 163.4742  52.1205425 186.7793
##  983       119.4499  74.818348 164.0815  51.1918202 187.7080
##  984       119.4499  74.219241 164.6806  50.2755657 188.6243
##  985       119.4499  73.627967 165.2719  49.3712899 189.5286
##  986       119.4499  73.044226 165.8556  48.4785348 190.4213
##  987       119.4499  72.467737 166.4321  47.5968712 191.3030
##  988       119.4499  71.898237 167.0016  46.7258956 192.1739
##  989       119.4499  71.335477 167.5644  45.8652284 193.0346
##  990       119.4499  70.779223 168.1206  45.0145121 193.8853
##  991       119.4499  70.229256 168.6706  44.1734094 194.7264
##  992       119.4499  69.685366 169.2145  43.3416014 195.5582
##  993       119.4499  69.147356 169.7525  42.5187867 196.3811
##  994       119.4499  68.615040 170.2848  41.7046798 197.1952
##  995       119.4499  68.088241 170.8116  40.8990098 198.0008
##  996       119.4499  67.566790 171.3331  40.1015199 198.7983
##  997       119.4499  67.050529 171.8493  39.3119658 199.5879
##  998       119.4499  66.539304 172.3605  38.5301152 200.3697
##  999       119.4499  66.032972 172.8669  37.7557469 201.1441
## 1000       119.4499  65.531394 173.3684  36.9886501 201.9112
## 1001       119.4499  65.034440 173.8654  36.2286238 202.6712
## 1002       119.4499  64.541983 174.3579  35.4754760 203.4244
## 1003       119.4499  64.053904 174.8459  34.7290232 204.1708
## 1004       119.4499  63.570087 175.3298  33.9890900 204.9108
## 1005       119.4499  63.090424 175.8094  33.2555085 205.6443
## 1006       119.4499  62.614809 176.2850  32.5281179 206.3717
## 1007       119.4499  62.143141 176.7567  31.8067640 207.0931
## 1008       119.4499  61.675324 177.2245  31.0912990 207.8085
## 1009       119.4499  61.211264 177.6886  30.3815810 208.5183
## 1010       119.4499  60.750873 178.1490  29.6774737 209.2224
## 1011       119.4499  60.294065 178.6058  28.9788460 209.9210
## 1012       119.4499  59.840757 179.0591  28.2855721 210.6143
## 1013       119.4499  59.390871 179.5090  27.5975306 211.3023
## 1014       119.4499  58.944330 179.9555  26.9146048 211.9852
## 1015       119.4499  58.501060 180.3988  26.2366824 212.6632
## 1016       119.4499  58.060991 180.8389  25.5636549 213.3362
## 1017       119.4499  57.624055 181.2758  24.8954178 214.0044
## 1018       119.4499  57.190184 181.7097  24.2318703 214.6680
## 1019       119.4499  56.759316 182.1405  23.5729149 215.3269
## 1020       119.4499  56.331390 182.5685  22.9184577 215.9814
## 1021       119.4499  55.906345 182.9935  22.2684078 216.6314
## 1022       119.4499  55.484125 183.4157  21.6226772 217.2772
## 1023       119.4499  55.064673 183.8352  20.9811811 217.9187
## 1024       119.4499  54.647936 184.2519  20.3438372 218.5560
## 1025       119.4499  54.233862 184.6660  19.7105659 219.1893
## 1026       119.4499  53.822401 185.0774  19.0812901 219.8186
## 1027       119.4499  53.413503 185.4863  18.4559352 220.4439
## 1028       119.4499  53.007122 185.8927  17.8344287 221.0654
## 1029       119.4499  52.603211 186.2966  17.2167004 221.6831
## 1030       119.4499  52.201726 186.6981  16.6026823 222.2972
## 1031       119.4499  51.802624 187.0972  15.9923084 222.9075
## 1032       119.4499  51.405863 187.4940  15.3855144 223.5143
## 1033       119.4499  51.011402 187.8884  14.7822381 224.1176
## 1034       119.4499  50.619201 188.2806  14.1824192 224.7174
## 1035       119.4499  50.229223 188.6706  13.5859987 225.3138
## 1036       119.4499  49.841429 189.0584  12.9929195 225.9069
## 1037       119.4499  49.455784 189.4441  12.4031262 226.4967
## 1038       119.4499  49.072252 189.8276  11.8165647 227.0833
## 1039       119.4499  48.690799 190.2090  11.2331825 227.6667
## 1040       119.4499  48.311391 190.5885  10.6529284 228.2469
## 1041       119.4499  47.933996 190.9658  10.0757526 228.8241
## 1042       119.4499  47.558582 191.3413   9.5016067 229.3982
## 1043       119.4499  47.185119 191.7147   8.9304434 229.9694
## 1044       119.4499  46.813575 192.0863   8.3622167 230.5376
## 1045       119.4499  46.443923 192.4559   7.7968818 231.1030
## 1046       119.4499  46.076132 192.8237   7.2343950 231.6654
## 1047       119.4499  45.710177 193.1897   6.6747137 232.2251
## 1048       119.4499  45.346028 193.5538   6.1177963 232.7820
## 1049       119.4499  44.983660 193.9162   5.5636022 233.3362
## 1050       119.4499  44.623047 194.2768   5.0120920 233.8878
## 1051       119.4499  44.264163 194.6357   4.4632269 234.4366
## 1052       119.4499  43.906984 194.9929   3.9169693 234.9829
## 1053       119.4499  43.551487 195.3484   3.3732824 235.5266
## 1054       119.4499  43.197646 195.7022   2.8321301 236.0677
## 1055       119.4499  42.845440 196.0544   2.2934775 236.6064
## 1056       119.4499  42.494846 196.4050   1.7572901 237.1426
## 1057       119.4499  42.145842 196.7540   1.2235344 237.6763
## 1058       119.4499  41.798406 197.1014   0.6921777 238.2077
## 1059       119.4499  41.452519 197.4473   0.1631879 238.7367
## 1060       119.4499  41.108158 197.7917  -0.3634664 239.2633
## 1061       119.4499  40.765304 198.1345  -0.8878159 239.7877
## 1062       119.4499  40.423938 198.4759  -1.4098905 240.3097
## 1063       119.4499  40.084040 198.8158  -1.9297196 240.8296
## 1064       119.4499  39.745592 199.1543  -2.4473319 241.3472
## 1065       119.4499  39.408574 199.4913  -2.9627555 241.8626
## 1066       119.4499  39.072970 199.8269  -3.4760180 242.3759
## 1067       119.4499  38.738761 200.1611  -3.9871463 242.8870
## 1068       119.4499  38.405930 200.4939  -4.4961669 243.3960
## 1069       119.4499  38.074461 200.8254  -5.0031055 243.9029
## 1070       119.4499  37.744336 201.1555  -5.5079876 244.4078
## 1071       119.4499  37.415540 201.4843  -6.0108379 244.9107
## 1072       119.4499  37.088057 201.8118  -6.5116808 245.4115
## 1073       119.4499  36.761870 202.1380  -7.0105402 245.9104
## 1074       119.4499  36.436965 202.4629  -7.5074394 246.4073
## 1075       119.4499  36.113327 202.7865  -8.0024013 246.9022
## 1076       119.4499  35.790941 203.1089  -8.4954485 247.3953
## 1077       119.4499  35.469792 203.4301  -8.9866030 247.8864
## 1078       119.4499  35.149867 203.7500  -9.4758863 248.3757
## 1079       119.4499  34.831151 204.0687  -9.9633199 248.8632
## 1080       119.4499  34.513631 204.3862 -10.4489243 249.3488
## 1081       119.4499  34.197294 204.7025 -10.9327202 249.8326
## 1082       119.4499  33.882127 205.0177 -11.4147275 250.3146
## 1083       119.4499  33.568116 205.3317 -11.8949660 250.7948
## 1084       119.4499  33.255248 205.6446 -12.3734550 251.2733
## 1085       119.4499  32.943513 205.9563 -12.8502134 251.7501
## 1086       119.4499  32.632897 206.2669 -13.3252600 252.2251
## 1087       119.4499  32.323388 206.5765 -13.7986129 252.6985
## 1088       119.4499  32.014975 206.8849 -14.2702903 253.1701
## 1089       119.4499  31.707645 207.1922 -14.7403097 253.6402
## 1090       119.4499  31.401389 207.4985 -15.2086885 254.1085
## 1091       119.4499  31.096194 207.8036 -15.6754439 254.5753
## 1092       119.4499  30.792050 208.1078 -16.1405925 255.0404
## 1093       119.4499  30.488945 208.4109 -16.6041508 255.5040
## 1094       119.4499  30.186870 208.7130 -17.0661351 255.9660
## 1095       119.4499  29.885813 209.0140 -17.5265612 256.4264
## 1096       119.4499  29.585766 209.3141 -17.9854448 256.8853
## 1097       119.4499  29.286716 209.6131 -18.4428014 257.3426
## 1098       119.4499  28.988655 209.9112 -18.8986460 257.7985
## 1099       119.4499  28.691573 210.2083 -19.3529936 258.2528
## 1100       119.4499  28.395461 210.5044 -19.8058589 258.7057
## 1101       119.4499  28.100308 210.7995 -20.2572561 259.1571
## 1102       119.4499  27.806106 211.0937 -20.7071996 259.6070
## 1103       119.4499  27.512845 211.3870 -21.1557032 260.0555
## 1104       119.4499  27.220517 211.6793 -21.6027807 260.5026
## 1105       119.4499  26.929112 211.9707 -22.0484457 260.9483
## 1106       119.4499  26.638622 212.2612 -22.4927114 261.3926
## 1107       119.4499  26.349039 212.5508 -22.9355909 261.8354
## 1108       119.4499  26.060354 212.8395 -23.3770971 262.2769
## 1109       119.4499  25.772558 213.1273 -23.8172428 262.7171
## 1110       119.4499  25.485644 213.4142 -24.2560403 263.1559
## 1111       119.4499  25.199603 213.7002 -24.6935021 263.5933
## 1112       119.4499  24.914427 213.9854 -25.1296403 264.0295
## 1113       119.4499  24.630109 214.2697 -25.5644668 264.4643
## 1114       119.4499  24.346642 214.5532 -25.9979933 264.8978
## 1115       119.4499  24.064016 214.8358 -26.4302314 265.3301
## 1116       119.4499  23.782226 215.1176 -26.8611927 265.7610
## 1117       119.4499  23.501263 215.3986 -27.2908882 266.1907
## 1118       119.4499  23.221121 215.6787 -27.7193292 266.6192
## 1119       119.4499  22.941791 215.9581 -28.1465265 267.0464
## 1120       119.4499  22.663268 216.2366 -28.5724909 267.4723
## 1121       119.4499  22.385544 216.5143 -28.9972330 267.8971
## 1122       119.4499  22.108613 216.7912 -29.4207633 268.3206
## 1123       119.4499  21.832467 217.0674 -29.8430921 268.7429
## 1124       119.4499  21.557100 217.3427 -30.2642295 269.1641
## 1125       119.4499  21.282505 217.6173 -30.6841857 269.5840
## 1126       119.4499  21.008677 217.8912 -31.1029703 270.0028
## 1127       119.4499  20.735608 218.1642 -31.5205933 270.4204
## 1128       119.4499  20.463292 218.4366 -31.9370643 270.8369
## 1129       119.4499  20.191723 218.7081 -32.3523926 271.2522
## 1130       119.4499  19.920896 218.9789 -32.7665877 271.6664
## 1131       119.4499  19.650803 219.2490 -33.1796588 272.0795
## 1132       119.4499  19.381439 219.5184 -33.5916150 272.4915
## 1133       119.4499  19.112799 219.7870 -34.0024653 272.9023
## 1134       119.4499  18.844876 220.0550 -34.4122185 273.3121
## 1135       119.4499  18.577664 220.3222 -34.8208834 273.7207
## 1136       119.4499  18.311158 220.5887 -35.2284686 274.1283
## 1137       119.4499  18.045353 220.8545 -35.6349825 274.5348
## 1138       119.4499  17.780243 221.1196 -36.0404337 274.9403
## 1139       119.4499  17.515822 221.3840 -36.4448304 275.3447
## 1140       119.4499  17.252085 221.6478 -36.8481808 275.7480
## 1141       119.4499  16.989028 221.9108 -37.2504930 276.1503
## 1142       119.4499  16.726643 222.1732 -37.6517749 276.5516
## 1143       119.4499  16.464928 222.4349 -38.0520344 276.9519
## 1144       119.4499  16.203876 222.6960 -38.4512794 277.3511
## 1145       119.4499  15.943482 222.9564 -38.8495174 277.7494
## 1146       119.4499  15.683741 223.2161 -39.2467560 278.1466
## 1147       119.4499  15.424650 223.4752 -39.6430028 278.5428
## 1148       119.4499  15.166201 223.7336 -40.0382651 278.9381
## 1149       119.4499  14.908392 223.9914 -40.4325503 279.3324
## 1150       119.4499  14.651217 224.2486 -40.8258655 279.7257
## 1151       119.4499  14.394672 224.5052 -41.2182179 280.1181
## 1152       119.4499  14.138751 224.7611 -41.6096145 280.5095
## 1153       119.4499  13.883451 225.0164 -42.0000622 280.8999
## 1154       119.4499  13.628767 225.2711 -42.3895679 281.2894
## 1155       119.4499  13.374695 225.5251 -42.7781385 281.6780
## 1156       119.4499  13.121229 225.7786 -43.1657806 282.0656
## 1157       119.4499  12.868366 226.0315 -43.5525008 282.4523
## 1158       119.4499  12.616102 226.2837 -43.9383057 282.8381
## 1159       119.4499  12.364432 226.5354 -44.3232017 283.2230
## 1160       119.4499  12.113352 226.7865 -44.7071953 283.6070
## 1161       119.4499  11.862858 227.0370 -45.0902928 283.9901
## 1162       119.4499  11.612946 227.2869 -45.4725003 284.3723
## 1163       119.4499  11.363612 227.5362 -45.8538242 284.7537
## 1164       119.4499  11.114851 227.7850 -46.2342704 285.1341
## 1165       119.4499  10.866661 228.0332 -46.6138450 285.5137
## 1166       119.4499  10.619036 228.2808 -46.9925541 285.8924
## 1167       119.4499  10.371974 228.5279 -47.3704033 286.2702
## 1168       119.4499  10.125470 228.7744 -47.7473987 286.6472
## 1169       119.4499   9.879520 229.0203 -48.1235460 287.0234
## 1170       119.4499   9.634122 229.2657 -48.4988508 287.3987
## 1171       119.4499   9.389270 229.5106 -48.8733188 287.7732
## 1172       119.4499   9.144962 229.7549 -49.2469556 288.1468
## 1173       119.4499   8.901194 229.9986 -49.6197666 288.5196
## 1174       119.4499   8.657963 230.2419 -49.9917574 288.8916
## 1175       119.4499   8.415264 230.4846 -50.3629333 289.2628
## 1176       119.4499   8.173094 230.7267 -50.7332997 289.6331
## 1177       119.4499   7.931451 230.9684 -51.1028618 290.0027
## 1178       119.4499   7.690329 231.2095 -51.4716248 290.3715
## 1179       119.4499   7.449727 231.4501 -51.8395940 290.7394
## 1180       119.4499   7.209641 231.6902 -52.2067743 291.1066
## 1181       119.4499   6.970067 231.9298 -52.5731709 291.4730
## 1182       119.4499   6.731002 232.1688 -52.9387888 291.8386

Akurasi Data Latih

#Keakuratan Metode
#Pada data training
SSE1<-ses1$SSE
MSE1<-ses1$SSE/length(train.ts)
RMSE1<-sqrt(MSE1)

akurasi1 <- matrix(c(SSE1,MSE1,RMSE1))
row.names(akurasi1)<- c("SSE", "MSE", "RMSE")
colnames(akurasi1) <- c("Akurasi lamda=0.2")
akurasi1
##      Akurasi lamda=0.2
## SSE       81298.113813
## MSE          85.938810
## RMSE          9.270319
SSE2<-ses2$SSE
MSE2<-ses2$SSE/length(train.ts)
RMSE2<-sqrt(MSE2)

akurasi2 <- matrix(c(SSE2,MSE2,RMSE2))
row.names(akurasi2)<- c("SSE", "MSE", "RMSE")
colnames(akurasi2) <- c("Akurasi lamda=0.7")
akurasi2
##      Akurasi lamda=0.7
## SSE       35170.204802
## MSE          37.177806
## RMSE          6.097361

Cara manual

fitted1<-ramalan1$fitted
sisaan1<-ramalan1$residuals
head(sisaan1)
## Time Series:
## Start = 1 
## End = 6 
## Frequency = 1 
## [1]       NA -1.60000 -2.63000  1.39600 -0.68320 -4.64656
resid1<-training$Price-ramalan1$fitted
head(resid1)
## Time Series:
## Start = 1 
## End = 6 
## Frequency = 1 
## [1]       NA -1.60000 -2.63000  1.39600 -0.68320 -4.64656

#Cara Manual

SSE.1=sum(sisaan1[2:length(train.ts)]^2)
SSE.1
## [1] 81298.11
MSE.1 = SSE.1/length(train.ts)
MSE.1
## [1] 85.93881
MAPE.1 = sum(abs(sisaan1[2:length(train.ts)]/train.ts[2:length(train.ts)])*
               2360)/length(train.ts)
MAPE.1
## [1] 124.6056
akurasi.1 <- matrix(c(SSE.1,MSE.1,MAPE.1))
row.names(akurasi.1)<- c("SSE", "MSE", "MAPE")
colnames(akurasi.1) <- c("Akurasi lamda=0.2")
akurasi.1
##      Akurasi lamda=0.2
## SSE        81298.11381
## MSE           85.93881
## MAPE         124.60564
fitted2<-ramalan2$fitted
sisaan2<-ramalan2$residuals
head(sisaan2)
## Time Series:
## Start = 1 
## End = 6 
## Frequency = 1 
## [1]       NA -1.60000 -1.83000  2.95100 -0.91470 -4.37441
resid2<-training$Price-ramalan2$fitted
head(resid2)
## Time Series:
## Start = 1 
## End = 6 
## Frequency = 1 
## [1]       NA -1.60000 -1.83000  2.95100 -0.91470 -4.37441
SSE.2=sum(sisaan2[2:length(train.ts)]^2)
SSE.2
## [1] 35170.2
MSE.2 = SSE.2/length(train.ts)
MSE.2
## [1] 37.17781
MAPE.2 = sum(abs(sisaan2[2:length(train.ts)]/train.ts[2:length(train.ts)])*
               2360)/length(train.ts)
MAPE.2
## [1] 84.18054
akurasi.2 <- matrix(c(SSE.2,MSE.2,MAPE.2))
row.names(akurasi.2)<- c("SSE", "MSE", "MAPE")
colnames(akurasi.2) <- c("Akurasi lamda=0.7")
akurasi.2
##      Akurasi lamda=0.7
## SSE        35170.20480
## MSE           37.17781
## MAPE          84.18054

Model ini memiliki MAPE tidak kurang dari 10%. Nilai ini terbilang cukup tinggi dan tergolong model yang kurang baik

# Cek akurasi
accuracy(ramalanopt,testing$Price)
##                        ME      RMSE      MAE         MPE      MAPE     MASE
## Training set  0.005608677  5.722658  4.15511 -0.08765963  3.392656 1.000005
## Test set     19.609273821 52.496076 35.29690  5.24623851 20.984423 8.494858
##                    ACF1
## Training set 0.07507203
## Test set             NA

Model ini memiliki MAPE tidak kurang dari 10%. Nilai ini terbilang cukup tinggi dan tergolong model yang kurang baik

DES

#Lamda=0.2 dan gamma=0.2
des.1<- HoltWinters(train.ts, gamma = FALSE, beta = 0.2, alpha = 0.2)
plot(des.1)

#ramalan
ramalandes1<- forecast(des.1, h=10)
ramalandes1
##     Point Forecast     Lo 80    Hi 80     Lo 95    Hi 95
## 947       119.4375 108.06687 130.8081 102.04763 136.8274
## 948       119.0825 107.38896 130.7760 101.19879 136.9661
## 949       118.7275 106.60827 130.8466 100.19276 137.2621
## 950       118.3724 105.71882 131.0260  99.02040 137.7245
## 951       118.0174 104.71816 131.3167  97.67796 138.3569
## 952       117.6624 103.60691 131.7179  96.16638 139.1584
## 953       117.3074 102.38801 132.2267  94.49018 140.1246
## 954       116.9524 101.06601 132.8387  92.65628 141.2484
## 955       116.5973  99.64634 133.5483  90.67302 142.5216
## 956       116.2423  98.13480 134.3498  88.54926 143.9354
#Lamda=0.6 dan gamma=0.3
des.2<- HoltWinters(train.ts, gamma = FALSE, beta = 0.3, alpha = 0.6)
plot(des.2)

#ramalan
ramalandes2<- forecast(des.2, h=10)
ramalandes2
##     Point Forecast     Lo 80    Hi 80     Lo 95    Hi 95
## 947       118.1718 109.44451 126.8990 104.82457 131.5190
## 948       117.3709 106.30271 128.4390 100.44358 134.2982
## 949       116.5700 102.68838 130.4515  95.33992 137.8000
## 950       115.7690  98.69033 132.8477  89.64941 141.8887
## 951       114.9681  94.36734 135.5689  83.46194 146.4743
## 952       114.1672  89.75894 138.5755  76.83797 151.4965
## 953       113.3663  84.89294 141.8397  69.82004 156.9126
## 954       112.5654  79.78989 145.3409  62.43958 162.6912
## 955       111.7645  74.46565 149.0633  54.72084 168.8081
## 956       110.9636  68.93292 152.9942  46.68324 175.2439

Selanjutnya jika ingin membandingkan plot data latih dan data uji adalah sebagai berikut.

#Visually evaluate the prediction
plot(data.ts)
lines(des.1$fitted[,1], lty=2, col="blue")
lines(ramalandes1$mean, col="red")

#Lamda dan gamma optimum
des.opt<- HoltWinters(train.ts, gamma = FALSE)
des.opt
## Holt-Winters exponential smoothing with trend and without seasonal component.
## 
## Call:
## HoltWinters(x = train.ts, gamma = FALSE)
## 
## Smoothing parameters:
##  alpha: 1
##  beta : 0.009275112
##  gamma: FALSE
## 
## Coefficients:
##          [,1]
## a 119.4500000
## b  -0.1890011
plot(des.opt)

#ramalan
ramalandesopt<- forecast(des.opt, h=10)
ramalandesopt
##     Point Forecast     Lo 80    Hi 80     Lo 95    Hi 95
## 947        119.261 111.89111 126.6309 107.98973 130.5323
## 948        119.072 108.60096 129.5430 103.05792 135.0861
## 949        118.883 105.99922 131.7668  99.17896 138.5870
## 950        118.694 103.74837 133.6396  95.83664 141.5514
## 951        118.505 101.71834 135.2917  92.83202 144.1780
## 952        118.316  99.84272 136.7893  90.06356 146.5684
## 953        118.127  98.08228 138.1717  87.47125 148.7827
## 954        117.938  96.41155 139.4644  85.01614 150.8598
## 955        117.749  94.81294 140.6850  82.67133 152.8267
## 956        117.560  93.27369 141.8463  80.41731 154.7027

Selanjutnya akan dilakukan perhitungan akurasi pada data latih maupun data uji dengan ukuran akurasi SSE, MSE dan MAPE.

#Akurasi Data Training
ssedes.train1<-des.1$SSE
msedes.train1<-ssedes.train1/length(train.ts)
sisaandes1<-ramalandes1$residuals
head(sisaandes1)
## Time Series:
## Start = 1 
## End = 6 
## Frequency = 1 
## [1]       NA       NA 0.250000 5.290000 3.810400 0.174304
mapedes.train1 <- sum(abs(sisaandes1[3:length(train.ts)]/train.ts[3:length(train.ts)])
                      *100)/length(train.ts)

akurasides.1 <- matrix(c(ssedes.train1,msedes.train1,mapedes.train1))
row.names(akurasides.1)<- c("SSE", "MSE", "MAPE")
colnames(akurasides.1) <- c("Akurasi lamda=0.2 dan gamma=0.2")
akurasides.1
##      Akurasi lamda=0.2 dan gamma=0.2
## SSE                     74235.863517
## MSE                        78.473429
## MAPE                        5.050379
ssedes.train2<-des.2$SSE
msedes.train2<-ssedes.train2/length(train.ts)
sisaandes2<-ramalandes2$residuals
head(sisaandes2)
## Time Series:
## Start = 1 
## End = 6 
## Frequency = 1 
## [1]        NA        NA  0.250000  5.155000  0.889100 -3.277298
mapedes.train2 <- sum(abs(sisaandes2[3:length(train.ts)]/train.ts[3:length(train.ts)])
                      *100)/length(train.ts)

akurasides.2 <- matrix(c(ssedes.train2,msedes.train2,mapedes.train2))
row.names(akurasides.2)<- c("SSE", "MSE", "MAPE")
colnames(akurasides.2) <- c("Akurasi lamda=0.6 dan gamma=0.3")
akurasides.2
##      Akurasi lamda=0.6 dan gamma=0.3
## SSE                     43731.696111
## MSE                        46.228009
## MAPE                        3.927454

Model ini memiliki MAPE kurang dari 10% sehinggga tergolong cukup baik.